doctoral thesis in fractional calculus

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Fractional Calculus

• Differential Equations

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• Mathematics

Prof. Dr. MEHMET ALİ ÖZARSLAN

• Habibe Tilim ,  Volterra Integral Equations of the Second Kind (2007).
• Tuba Vedi,  Schurer Type q-Bernstein Operators (2011).
• Gizem Baran , Exponential Operators and Hermite Type Polynomials (2016).
• Cemaliye Kurt, Some results on Laguerre type and Mittag-Leffler type functions (2017) .
• Ceren Ustaoğlu,  Incomplete Pochhammer Ratio and Related Special Functions (2015).
• Tuba Vedi, Approximation Properties of q-Bernstein-Schurer Operators (2015).
• Dr. Banu Yılmaz,  Some Properties of Appell Polynomials (2014).
• Dr. Emine Özergin,  Some Properties of Hypergeometric Functions (2011).
• Dr. Cem Kaanoğlu,  Some Properties of Certain Class of Polynomials (2010). 
• Mehmet Ali Özarslan and Cemaliye Kürt, Bivariate Mittag-Leffler function arising in the solutions of convolution integral equation with 2D-Laguerre-Konhauser polynomials in the kernel, Applied Math. Comput. Volume 347, 15 April 2019, 631-644.
• H. M. Srivastava, M. A. Özarslan, Banu Yılmaz Yaşar, Difference equations for a class of twiceiterated Δh-Appell sequences of polynomials, Revista de la Real Academia de Ciencias Exactas, Fisicas y Naturelas. Serie A Mathematicas, (2018), pp 1–21.
• Serhan Varma, Banu Yılmaz Yaşar, Mehmet Ali Özarslan, Hahn-Appell polynomials and their dorthogonality, Revista de la Real Academia de Ciencias Exactas, Fisicas y Naturelas. Serie A Mathematicas, (2018), pp 1–17.
• M.A. Özarslan and C. Kurt,On a double integral equation including a set two variables polynomials suggested by Laguerre Polynomials, Journal of Computational Analysis and Applications 22 (7) (2017),1198-1207.
• M.A. Özarslan and T.Vedi, Two-dimensional Chlodowsky variant of q-Bernstein-Shurer-Stancu Operators, Journal of Computational Anlaysis and Applications 23 (3) (2017),446-461. M.A. Özarslan,R. Srivastava and C. Kaanoğlu, Certain Families of Multivaible Chan-ChyanSrivastava Polynomails, Miskolc Mathematical Notes 18 1 (2017), 379-389.
• M.A. Özarslan and H. Aktuğlu, Weighted alpha beta-statistical convergence of Kanorovich MittagLeffler operators, Slovaca 66 (3) (2016),695-706.3
• M.A. Özarslan, New Korovkin type theorem for non-tensor Meyer-König and Zeller operators, Results in Mathematics 69 (3-4) (2016),327-343.
• M.A. Özarslan and O. Duman, Smoothness properties of modified Bernstein-Kantorovich operators, Numerical Functional Analysis and Optimization, 37 (1) (2016), 92-105.
• M.A. Özarslan and B.Y. Yasar, Unified Bessel, modified Bessel, spherical Bessel and BesselClifford functions, Journal of Inequalities and Special Functions ,7 (4) (2016),77- 117.
• M.A. Özarslan and T. Vedi, Voronovskaja type approximation theorem for q-Szasz-Schurer operators, Computational Analysis, 155 (2016),353-361.
• M.A. Özarslan, Approximation properties of Jain-Stancu operators, Filomat 30 (4) (2016),1081-1088.
• M.A. Özarslan and H. Aktuğlu, Anti-periodic BVP for Volterra integro-differenetial equation of fractional order 1<alpha<=2 involving Mittag-Leffler function in the kernel, Journal of Nonlinear Sciences and Applications 9 (2) (2016),452-460.
• M.A. Özarslan and H. Aktuğlu, Korovkin type theorem for non-tensor Balasz type Bleimann, Butzer and Hahn operators, Math. Meth. Appl. Sci., 38(9) (2015)1937-1944.
• T. Vedi and M.A. Özarslan, Chlodowsky type q-Bernstein-Stancu-Kantorovich operators, Journal of Inequalities and Applications, article no: 91 (2015), 16 pages.
• M.A. Özarslan and S. Gaboury, Srivastava-Pinter theorems for 2D-Appell polynomials and their Applications, Math. Meth. Appl. Sci., 37(15)(2014), 2198-2210.
• S. Gaboury and M.A. Özarslan, Singular integral equation involving a multivariable analog of MittagLeffler function, Advances in differences equations, article no: 252 (2014), 10 pages.
• H.M. Srivastava, M.A. Özarslan, B. Yılmaz, Some families of differential equations associated with the Hermite-based Appell polynomials and other classes of Hermite-based polynomials, Filomat, 28 (4) (2014), 695-708.
• T. Vedi and M.A. Özarslan, Chlodowsky variant of q-Bernstein-Schurer-Stancu operators, Journal of Inequalities and Applications, article no: 189 (2014), 14 pages.
• M.A. Özarslan and B. Yılmaz, A set of finite order differential equations for the Appell polynomials, J. of Comp. and Appl. Math., 259 (2014), 108-116.
• M.A. Özarslan, On a singular integral equation including a set of multivariate polynomials suggested by Laguerre polynomials, Applied Mathematics and Computation, 229 (2014), 350-358.
• M.A. Özarslan and B. Yılmaz, The Extended Mittag-Leffler function and its properties, Journal ofInequalities and Applications, article no:85 (2014), 10 pages. 4
• H. Aktuğlu and M.A. Özarslan, Solvability of differential equations of order involving thep-Laplacian operator with boundary conditions, Advances in differences equations, article no: 358 (2013), 13 pages
• M. Bozer and M.A. Özarslan, Notes on generalized Gamma, Beta and Hypergeometric function, J. Comp. Anal. and Appl., 15 (7) (2013), 1194-1201.
• M.A. Özarslan and T. Vedi, q- Bernstein-Schurer-Kantorovich Operators, J. of Ineq. and Appl. article no: 444 (2013), 15 pages.
• C. Kaanoğlu and M.A. Özarslan, Two-parameter Srivastava polynomials and several series identities, Adv. Difference Equ., article no: 81 (2013), 9 pages.
• H.M. Srivastava, M.A. Özarslan and C. Kaanoğlu, Some generalized Lagrange-based ApostolBernoulli, Apostol-Euler and Apostol-Genocchi polynomials, Russ. J. Math. Phys., 20 (1) (2013), 110-120.
• M.A. Özarslan, A-statistical convergence of Mittag-Leffler operators, Miscolc Math. Notes, 14 (1) (2013), 209-217.
• M.A. Özarslan and H. Aktuğlu, Local approximation properties for certain King type operators, Filomat, 27 (1) (2013), 173-181.
• H. Aktuğlu and M.A. Özarslan, On the Solvability of Caputo q-Fractional boundary value problem involving p-Laclacian operators, Abstract and Applied Analysis, article no: 658617, (2013), 8 pages.
• M.A. Özarslan and H. Aktuğlu, Quantative global estimates for generalized double Szas-Mirakjan operators, J. Appl. Math., article no:613258 (2013), 8 pages.
• B. Yılmaz and M.A. Özarslan, Differential equations for the extended 2D Bernoulli and Euler Polynomials, Adv. Difference Equ., article no: 107 (2013), 16 pages.
• M.A. Özarslan, Hermite-based unified Apostol-Bernoulli, Euler and Genocchi polynomials, Adv. Difference Equ., article no: 116 (2013), 13 pages.
• M.A. Özarslan and M. Bozer, Unified Bernstein and Bleimann-Butzer-Hahn basis and its properties, Adv. Difference Equ., article no: 55 (2013), 14 pages.
• S. Gaboury, M.A. Özarslan and R. Tremblay, Some bilateral generating functions involving the Chan-Chyan-Srivastava polynomials and some general classes of multivariable polynomials, Commun. Korean Math. Soc., 28 (4) (2013), 783-797.
• T. Vedi, M.A. Özarslan: Some Properties of q-Bernstein-Schurer operators, J. Applied Functional Analysis, 8 (1) (2013), 45-53 .
• M.A. Özarslan, Some remarks on extended hypergeometric, extended confluent hypergeometric and extended Appell's functions, J. Comput. Anal. Appl., 14 (6) (2012), 1148-1153.
• Z. Ünal, M.A. Özarslan and O. Duman, Approximation properties of real and complex Post-Widder operators based on q-integers, Miskolc Math. Notes, 13 (2) (2012), 581-603.  5
• M.A. Özarslan and H. Aktuğlu, A-statistical approximation of generalized Szász-Mirakjan-Beta operators, Appl. Math. Lett., 24 (11) (2011), 1785-1790.
• C. Kaanoğlu and M.A. Özarslan, New families of generating functions for certain class of threevariable polynomials, Appl. Math. Comput., 218 (3) (2011), 836-842.
• M.A. Özarslan, Some families of generating functions for the extended Srivastava polynomials, Appl. Math. Comput., 218 (3) (2011), 959-964.
• M.A. Özarslan, Unified Apostol-Bernoulli, Euler and Genocchi polynomials, Comput. Math. Appl., 62 (6) (2011), 2452-2462.
• C. Kaanoğlu and M.A. Özarslan, Two-sided generating functions for certain class of r-variable polynomials, Math. Comput. Modelling, 54 (1-2) (2011), 625-631.
• E. Özergin, M.A. Özarslan and A. Altın, Extension of gamma, beta and hypergeometric functions, J. Comput. Appl. Math., 235 (16) (2011), 4601-4610.
• C. Kaanoğlu and M.A. Özarslan, Some properties of generalized multiple Hermite polynomials, J. Comput. Appl. Math., 235 (16) (2011), 4878-4887.
• Nazım I. Mahmudov, M.A. Özarslan and P. Sabancıgil, I-approximation properties of certain class of linear positive operators, Studia Sci. Math. Hungar., 48 (2) (2011), 205-219.
• M.A. Özarslan and C. Kaanoğlu, Multilateral generating functions for classes of polynomials involving multivariable Laguerre polynomials, J. Comput. Anal. Appl., 13 (4) (2011), 683-691.
• M.A. Özarslan, O. Duman and Nazım I. Mahmudov, Local approximation properties of modified Baskakov operators, Results in Math., 59 (1-2) (2011), 1-11.
• O. Duman and M.A. Özarslan, Global approximation results for modified Szász-Mirakjan operators, Taiwanese J. Math., 15 (1) (2011), 75-86.
• M.A. Özarslan, q-Szász Schurer operators, Miskolc Math. Notes, 12 (2) (2011), 225-235.
• H. Aktuğlu, M.A. Özarslan and O. Duman, Matrix summability methods on the approximation of multivariate q-MKZ operators, Bull. Malays. Math. Sci. Soc., 34 (3) (2011), 465-474.
• H. Aktuğlu, and M.A. Özarslan, Korovkin type approximation theorem for BBH type operators via I - convergence, Math. Slovaca, 60 (6) (2010), 865-876.
• M.A. Özarslan and E. Özergin, Some generating relations for extended hypergeometric functions via generalized fractional derivative operator, Math. Comput. Modelling, 52 (9-10) (2010), 1825-1833.
• S. Zorlu, H. Aktuglu and M.A. Özarslan, An estimation to the solution of an initial value problem via q-Bernstein polynomials, J. Comput. Anal. Appl., 12 (3) (2010), 637–645. 6
• 55) M.A. Özarslan, E. Özergin and C. Kaanoğlu, Multilateral generating functions for the multiple Laguerre and multiple Hermite polynomials. J. Comput. Anal. Appl., 12 (3) (2010), 667–677.
• M.A. Özarslan, O. Duman and C. Kaanoğlu, Rates of convergence of certain King-type operators for functions with derivative of bounded variation, Math. Comput. Modelling, 52 (1-2) (2010), 334-345.
• H. Karslı and M.A. Özarslan, Direct Local and global approximation results for operators of gamma type., Hacet. J. Math. Stat., 39 (2) (2010), 241-253.
• M.A. Özarslan and O. Duman, Global approximation properties of modified SMK operators, Filomat, 24 (1) (2010), 47-61.
• O. Duman, M. A. Özarslan and E. Erkuş-Duman, Rates of ideal convergence for approximation operators., Mediterr. J. Math., 7 (1) (2010), 111-121.
• H.M. Srivastava, M.A. Özarslan and C. Kaanoğlu, Some families of generating functions for a certain class of three-variable polynomials, Integral Transforms Spec. Func., 21 (12) (2010), 885-896.
• H. Aktuğlu, M.A. Özarslan, H. Gezer, A-equistatistical convergence of positive linear operators, J. Comput. Anal. Appl., 12 (1) (2010), 24-36.
• M.A. Özarslan and O. Duman, Local approximation behavior of modified SMK operators, Mıscolc Mathematical Notes, 11(1) (2010), 87-99.
• E. Özergin, M.A. Özarslan and H.M. Srivastava, Some families of generating functions for a class of bivariate polynomials, Math. Comput. Modelling, 50 (7-8) (2009), 1113-1120.
• M.A. Özarslan and O. Duman, Approximation theorems by Meyer-König and Zeller type operators, Chaos, Solitons & Fractals., 41 (1) (2009), 451-456.
• M. A. Özarslan, I-convergence theorems for a class of k-positive linear operators, Central European Journal of Mathematics, 7 (2) (2009), 357-362.
• M.A. Özarslan, O. Duman, B. Della Vecchia, Modified Szasz-Mirakjan-Kantorovich operators preserving linear functions, Turkish J. Math., 33 (2) (2009), 151-158.
• M.A.Özarslan and O. Duman, A new approach in obtaining a better estimation in approximation by positive linear operators, Commun. Fac. Sci. Univ. Ank. Sér. A1 Math. Stat., 58 (1) (2009), 17-22.
• M.A. Özarslan, O. Duman and H.M. Srivastava, Statistical approximation results for Kantorovichtype operators involving some special polynomials, Math. Comput. Modelling, 48 (3-4) (2008), 388-401.
• M.A. Özarslan and O. Duman, Approximation properties of Poisson integrals for orthogonal expansions, Taiwanese J. Math., 12 (5) (2008), 1147 – 1163.7
• M. A. Özarslan, H. Aktuğlu, Local approximation properties of certain class of linear positive operators via I-convergence, Central European Journal of Mathematics, 6 (2) (2008), 281-286.
• M.A. Özarslan and O. Duman, Local approximation results for Szasz-Mirakjan type operators, Archiv Der Math., 90 (2) (2008), 144-149.
• O. Duman, M.A. Özarslan and H. Aktuğlu, Better error estimation for Szasz-Mirakjan-Beta operators, J. Comput. Anal. Appl., 10 (1) (2008), 53-59.
• O. Duman and M. A. Özarslan, Szasz-Mirakjan type operators providing a better error estimation, Applied Math. Letters., 20 (12) (2007), 1184-1188.
• M. A. Özarslan and O. Duman, MKZ type operators providing a better estimation on [1/2,1), Canadian Math. Bull., 50 (3) (2007), 434-439.
• M.A. Özarslan, q-Laguerre type linear positive operators, Stud. Sci. Math. Hungarica, 44 (1) (2007),65-80.
• A. Altın, E. Erkuş and M.A. Özarslan, Families of linear generating functions for polynomials in two variables, Integral Transforms and Special Functions, 17 (5) (2006), 315-320.
• O. Duman, M. A. Özarslan, O. Doğru, On integral type generalizations of positive linear operators, Studia Math. 174 (1) (2006), 1-12.
• M. A. Özarslan, O. Duman and O. Doğru, A-Statistical convergence for a class of positive linear operators, Rev. Anal. Numer. Theor. Approx., 35 (2) (2006), 161-172.
• M. A. Özarslan, O. Duman and O. Doğru, Rates of A-statistical convergence of approximating operators, Calcolo, 42 (2) (2005), 93-104.
• M. A. Özarslan and A. Altin, Some families of generating functions for the multiple orthogonal polynomials associated with modified Bessel K- functions, J. of Math. Anal. Appl., 297 (1) (2004),186-193 .
• O. Doğru, M.A. Özarslan, F. Taşdelen, On positive operators involving a certain class of generating functions, Stud. Sci. Math. Hungarica, 41 (4)(2004), 415-429.
• Type B (Supported by Ministry of National Education and Culture), Project Title: New Techniques for Finding Generating Function,  Principle Investigator: Mehmet Ali Özarslan, Investigator: Emine Özergin (April 2009- 2011)      
• Type A (Supported by Eastern Mediterranean University), Project Title: q-Parametric Positive Linear Operators , Principle Investigator: Nazım Mahmudov , Investigators: Mehmet Ali Özarslan, Pembe Sabancıgil (September 2007- 2009)
• Type B (Supported by Ministry of National Education and Culture), Project Title: Solution of Initial value problem by q-Meyer-König-Zeller operators, Principle Investigator: Nazım Mahmudov, Investigators: Mehmet Ali Özarslan, Hüseyin Aktuğlu (November 2007- January2009)
• M.A. Özarslan, Hermite-based unified Apostol-Bernoulli, Euler and Genocchi Polynomials,‘International Congress in Honour of Professor Hari M. Srivastava’, Uludağ University, Bursa-Turkey, August 23-26, 2012.
• M.A. Özarslan, B. Yılmaz, A set of Finite Order Differental Equations for the Appell Polynomials, ‘ International Congress on Computational and Applied Mathematics’ – ICCAM 2012, Gent-Belgium, July 09-13, 2012.
• M.A. Özarslan, Apostol-Lagrange-Bernoulli and Apostol-Lagrange-Euler polynomials, Intenational Conference on Applied Mathematics and Algebra, İstanbul-Turkey, June 29-July 2, 2011.
• M. A. Özarslan, Some Families of Generating Functions for the Extended Srivastava Polynomials, ‘International Congress in Honour of Professor H. M. Srivastava on his 70th Birth Anniversary’, Bursa-Turkey, August 18-21, 2010.
• A. Altın, O. Doğru and M. A. Özarslan, On the Approximation Properties of Bivariate Bleimann, Butzer and Hahn Operators ‘WSEAS VIII. International Conference on Applied Mathematics’, Tenerife-Spain, December 16-18, 2005.
• A. Altın, O. Doğru and M. A. Özarslan, Rates of Convergence of Meyer-König and Zeller Operatos Based on q-Integers, ‘WSEAS VIII. International Conference on Applied Mathematics’, Tenerife-Spain, December 16-18, 2005.
• A. Altın, O. Doğru and M. A. Özarslan, Kantorovich Type Generalization of Positive Linear Operators, ‘WSEAS VI. International Conference on Applied Mathematics’, Corfu-Greece, August 17-19, 2004.

Prof. Dr. NAZIM MAHMUDOV

• Reger Ibrahim , Thesis title: Riemann-Louiville type FDE, M.Sc. completed: 2016
• Ojo Gbenga Olayinka , Thesis title: Adomian's Decomposition of Multi-Order Fractional, Differential Equations, M.Sc. completed: 2016
• Hogir Ageed Khaleel , Thesis title: On Fractional Differential Equations, M.Sc. completed: 2015
• Abdullah Hasan Jangeer  , Thesis title: Fractional Integral Inequalities of Gronwall Type, M.Sc. completed: 2015
• Sevda Isiktas,  Thesis title: Controllability of linear deterministic systems, M.Sc. completed: 1997
• Verda Peyker,  Thesis title: Linear retarded differential equations, M.Sc. completed: 2000
• Ceren Mirillo , Thesis title: Linear retarded differential equations, M.Sc. completed: 2004
• Umut Yolsal , Thesis title: The Gauge Integral, MSc completed: 2004
• Mustafa Kara , Thesis title: The Calculus of Time Scales, M.Sc. completed: 2005
• Benan Gencsu , Thesis title: Inequalities on Time Scales, M.Sc. completed: 2005
• Havva Kafaoglu,  Thesis title: Differential Equations on Time Scales, M.Sc. completed: 2006
• SEDEF SULTAN EMIN , Thesis Title: Existence Results for Boundary Value Problems of Fractional Type, Differential Equations, Ph.D. completed in June 2019, EMU
• AREEN SABER SALAH AL-KHATEEB , Thesis Title: Stability, Existence and Uniqueness of Boundary Value Problems for a Coupled System of Fractional Differential Equations, Ph.D. completed in June 2019, EMU
• SAMEER HASSAN SALEEH BAWA`NEH , Thesis Title: Computational Numerical Solution Algorithm for Fractional Differential Equations, Ph.D. completed in June 2019, EMU
• Muath Awadalla,  Thesis Title: Fractional Differential Equations with Fractional Boundary Conditions, Ph.D. completed in February 2018, EMU
• Bilal Sami,  Thesis Title: Fractional Differential Equations with Fractional Boundary Conditions, Ph.D. completed in February 2018, EMU
• Helal Mahmoud , Thesis Title: Fractional Differential Equations with Fractional Boundary Conditions, Ph.D. completed in June 2016, EMU
• Mohammad Momenzadeh , Thesis Title: A Comprehensive Study On q-Polynomials, Ph.D. completed in February 2016, EMU
• Sinem Unul,  Thesis Title: On a Class Fractional Differential Equations, Ph.D. completed in February 2016, EMU
• Marzieh Eini Keleshteri , Thesis Title: Comprehensive Study On The Class Of q-Appell Polynomials, Ph.D. completed in July 2015, EMU
• Afet Oneren , Thesis Title: Q-polynomials, Ph.D. completed in October 2014, EMU
• Mustafa Kara,  Thesis Title: Generalized Kantorovich type Operators, Ph.D. completed in January 2011, EMU
• Havva Kaffaoglu , Thesis Title: Phillips type Operators Based on q-integers, Ph.D. completed in May 2011, EMU
• Pembe Sabancigil ,  Thesis Title: Bernstein type Operators Based on q-integers, Ph.D. completed in May 2009, EMU
• Muhammed Mattar , Thesis Title: Controllability of Backward Equations, Ph.D. completed in June 2005, EMU
• Sonuc Zorlu , Thesis Title: Controllability of Stochastic Systems, Ph.D. completed in May 2003, EMU
• Ali Denker , Thesis Title: Controllability concepts for stochastic control systems, Ph.D. completed in May 2002, EMU

Journal Papers_indexed in SCI 

• NI Mahmudov, Necessary First-Order and Second-Order Optimality Conditions in DiscreteTime Stochastic Systems, Journal of Optimization Theory and Applications 2019-09-14 | journalarticle DOI: 10.1007/s10957-019-01478-y
• NI Mahmudov, A novel fractional delayed matrix cosine and sine Applied Mathematics Letters 2019-06 | journal-article DOI: 10.1016/j.aml.2019.01.001
• NI Mahmudov, Representation of solutions of discrete linear delay systems with non permutable matrices Applied Mathematics Letters 2018, 85, 8-14
• Mahmudov, N. I. Asymptotic properties of powers of linear positive operators which preserve e2. Comput. Math. Appl. 62 (2011), no. 12, 4568–4575.
• Sakthivel, R.; Ren, Yong; Mahmudov, N. I. On the approximate controllability of semilinear fractional differential systems. Comput. Math. Appl. 62 (2011), no. 3, 1451–1459.
• Mahmudov, N. I. q-Szász-Mirakjan operators which preserve x2. J. Comput. Appl. Math. 235 (2011), no. 16, 4621–4628.
• Mahmudov, N. I. Approximation by Bernstein-Durrmeyer-type operators in compact disks. Appl. Math. Lett. 24 (2011), no. 7, 1231–1238.
• Mahmudov, N. I., Approximation properties of complex q-Szász-Mirakjan operators in compact disks. Comput. Math. Appl. 60 (2010), no. 6,1784–1791.
• Mahmudov, N. I., Convergence properties and iterations for q-Stancu polynomials in compact disks. Comput. Math. Appl. 59 (2010), no. 12, 3763–3769.
• Mahmudov, N. I., Approximation theorems for certain positive linear operators. Appl. Math. Lett. 23 (2010), no. 7, 812–817.
• Sakthivel, R.; Mahmudov, N. I.; Lee, Sang-Gu Controllability of non-linear impulsive stochastic systems. Internat. J. Control 82 (2009), no. 5, 801--807.
• Sakthivel, R.; Mahmudov, N. I.; Kim, J. H. On controllability of second order nonlinear impulsive differential systems. Nonlinear Anal. 71 (2009), no. 1-2, 45--52.
• Mahmudov, Nazim I. Approximate controllability of evolution systems with nonlocal conditions. Nonlinear Anal. 68 (2008), no. 3, 536--546.
• Mahmudov, N. I.; McKibben, M. A. On backward stochastic evolution equations in Hilbert spaces and optimal control. Nonlinear Anal. 67 (2007), no. 4, 1260--1274.
• Bashirov, A. E.; Mahmudov, N.; \c Semi, N.; Etikan, H. Partial controllability concepts. Internat. J. Control 80 (2007), no. 1, 1--7.
• Dauer, J. P.; Mahmudov, N. I.; Matar, M. M. Approximate controllability of backward stochastic evolution equations in Hilbert spaces. J. Math. Anal. Appl. 323 (2006), no. 1, 42--56.
• Mahmudov, N. I.; Zorlu, S. Controllability of semilinear stochastic systems. Internat. J. Control 78 (2005), no. 13, 997--1004.
• Dauer, J. P.; Mahmudov, N. I. Integral inequalities and mild solutions of semilinear neutral evolution equations. J. Math. Anal. Appl. 300 (2004), no. 1, 189--202.
• Dauer, J. P.; Mahmudov, N. I. Controllability of some nonlinear systems in Hilbert spaces. J. Optim. Theory Appl. 123 (2004), no. 2, 319--329.
• Dauer, J. P.; Mahmudov, N. I. Exact null controllability of semilinear integrodifferential systems in Hilbert spaces. J. Math. Anal. Appl. 299 (2004), no. 2, 322--332.
• Dauer, J. P.; Mahmudov, N. I. Controllability of stochastic semilinear functional differential equations in Hilbert spaces. J. Math. Anal. Appl. 290 (2004), no. 2, 373--394.
• Mahmudov, Nazim I. Approximate controllability of semilinear deterministic and stochastic evolution equations in abstract spaces. SIAM J. Control Optim. 42 (2003), no. 5, 1604--1622.
• Mahmudov, Nazim I. Controllability of semilinear stochastic systems in Hilbert spaces. J. Math. Anal. Appl. 288 (2003), no. 1, 197--211.
• Mahmudov, N. I.; Zorlu, S. Controllability of non-linear stochastic systems. Internat. J. Control 76 (2003), no. 2, 95--104.
• Dauer, J. P.; Mahmudov, N. I. Approximate controllability of semilinear functional equations in Hilbert spaces. J. Math. Anal. Appl. 273 (2002), no. 2, 310--327.
• Mahmudov, Nazim I. Controllability of linear stochastic systems in Hilbert spaces. J. Math. Anal. Appl. 259 (2001), no. 1, 64--82.
• Mahmudov, Nazim Idrisoglu Controllability of linear stochastic systems. IEEE Trans. Automat. Control 46 (2001), no. 5, 724--731.
• Mahmudov, N. I.; Denker, A. On controllability of linear stochastic systems. Internat. J. Control 73 (2000), no. 2, 144--151.
• Bashirov, Agamirza E.; Mahmudov, Nazim I. On concepts of controllability for deterministic and stochastic systems. SIAM J. Control Optim. 37 (1999), no. 6, 1808--1821 (electronic).

Journal Papers in SCIE 

• NI Mahmudov, Delayed perturbation of Mittag‐Leffler functions and their applications to fractional linear delay differential equations, Mathematical Methods in the Applied Sciences 2019-11-15 | journal-article DOI: 10.1002/mma.5446
• NI Mahmudov, S Emin, Fractional-order boundary value problems with Katugampola fractional integral conditions, Advances in Difference Equations 2018 (1), 81
• NI Mahmudov, Partial-approximate controllability of nonlocal fractional evolution equations via approximating method Applied Mathematics and Computation 334, 227-238
• NI Mahmudov, Finite-approximate controllability of fractional evolution equations: variational approach Fractional Calculus and Applied Analysis 21 (4), 919-93
• SG Gal, NI Mahmudov, BD Opris, Approximation with an Arbitrary Order by Szasz, SzaszKantorovich and Baskakov Complex Operators in Compact Disks Azerbaijan Journal of Mathematics-Print ISSN: 2218-6816, Online ISSN: 2221
• NI Mahmudov, M Awadalla, K Abuassba, Nonlinear sequential fractional differential equations with nonlocal boundary conditions Advances in Difference Equations 2017 (1), 319
• NI Mahmudov, H Mahmoud, Four-point impulsive multi-orders fractional boundary value problems J. Comput. Anal. Appl 22 (7), 1249-1260
• NI Mahmudov, R Murugesu, C Ravichandran, V Vijayakumar, Approximate controllability results for fractional semilinear integro-differential inclusions in Hilbert spaces Results in Mathematics 71 (1-2), 45-61
• N Mahmudov, MM Matar, EXISTENCE OF MILD SOLUTION FOR HYBRID DIFFERENTIAL EQUATIONS WITH ARBITRARY FRACTIONAL ORDER TWMS JOURNAL OF PURE AND APPLIED MATHEMATICS 8 (2), 160-169
• NI Mahmudov, Finite-approximate controllability of evolution equations, Appl. Comput. Math 16 (2), 159-167
• R Sakthivel, Y Ren, A Debbouche, NI Mahmudov Approximate controllability of fractional stochastic differential inclusions with nonlocal conditions Applicable Analysis 95 (11), 2361-2382
• NI Mahmudov, V Vijayakumar, R Murugesu, Approximate controllability of second-order evolution differential inclusions in Hilbert spaces Mediterranean Journal of Mathematics 13 (5), 3433-3454
• N Mahmudov, Approximation Properties of the q-Balázs–Szabados Complex Operators in the Case q≥1, Computational Methods and Function Theory 16 (4), 567–583
• NI Mahmudov, MA Mckibben, ON APPROXIMATELY CONTROLLABLE SYSTEMS Appl. Comput. Math 15 (3), 247-264
• MJ Mardanov, NI Mahmudov, YA Sharifov, Existence and uniqueness results for q-fractional difference equations with p-Laplacian operators Advances in Difference Equations 2015 (1), 185
• NI Mahmudov, M Kara, Approximation properties of weighted Kantorovich type operators in compact disks Journal of Inequalities and Applications 2015 (1), 46
• Mardanov, Misir J; Malik, Samin T; Mahmudov, Nazim I; On the theory of necessary optimality conditions in discrete systems. Adv. Difference Equ. 2015, 2015:28.
• Mahmudov, Nazim I; Kara, Mustafa; Approximation properties of weighted Kantorovich type operators in compact disks. J. Inequal. Appl. 2015, 2015:46.
• Mahmudov, Nazim I. Difference equations of q-Appell polynomials. Appl. Math. Comput. 245 (2014), 539–543
• Ganesh, Ramakrishnan; Sakthivel, Rathinasamy; Mahmudov, Nazim I. Approximate controllability of fractional functional equations with infinite delay. Topol. Methods Nonlinear Anal. 43 (2014), no. 2, 345–364.
• Mahmudov, N. I.; Unul, S. Existence of solutions of α∈(2,3]order fractional three-point boundary value problems with integral conditions. Abstr. Appl. Anal. 2014, Art. ID 198632, 12 pp.
• Mahmudov, Nazim I.; Keleshteri, Marzieh Eini q-extensions for the Apostol type polynomials. J. Appl. Math. 2014, Art. ID 868167, 8 pp.
• Mahmudov, N. I.; Momenzadeh, M. On a class of q-Bernoulli, q-Euler, and q-Genocchi polynomials. Abstr. Appl. Anal. 2014, Art. ID 696454, 10 pp.
• Mahmudov, N. I.; Gupta, Vijay Approximation by complex q-Durrmeyer polynomials in compact disks. Acta Math. Appl. Sin. Engl. Ser. 30 (2014),no. 1, 65–74.
• Mahmudov, N. I.; Akkeleş, A.; Öneren, A. On a class of two dimensional (w,q)-Bernoulli and (w,q)-Euler polynomials: properties and location of zeros. J. Comput. Anal. Appl. 16 (2014), no. 2, 282–292.
• Gal, Sorin G.; Mahmudov, Nazim I.; Kara, MustafaApproximation by complex q-SzászKantorovich operators in compact disks, q>1.Complex Anal. Oper. Theory 7 (2013), no. 6, 1853–1867.
• Mahmudov, Nazim Idrisoglu q-Szász operators which preserve x2. Math. Slovaca 63 (2013), no.5, 1059–1072.
• Ganesh, R.; Sakthivel, R.; Ren, Yong; Anthoni, S. M.;Mahmudov, N. I. Controllability of neutral fractional functional equations with impulses and infinite delay. Abstr. Appl. Anal. 2013, Art. ID 901625, 12 pp.
• Mahmudov, N. I. Asymptotic properties of iterates of certain positive linear operators. Math. Comput. Modelling 57 (2013), no. 5-6, 1480–1488.
• Mahmudov, N. I.; Zorlu, S. Approximate controllability of fractional integro-differential equations involving nonlocal initial conditions. Bound. Value Probl. 2013, 2013:118, 16 pp.
• Mahmudov, Nazim I.; Keleshteri, M. Eini On a class of generalized q-Bernoulli and q-Euler polynomials. Adv. Difference Equ. 2013,2013:115, 10 pp.
• Mahmudov, N. I.; Kara, M. Approximation theorems for complex Szász-Kantorovich operators. J. Comput. Anal. Appl. 15 (2013), no. 1, 32–38.
• Ganesh, R.; Sakthivel, R.; Mahmudov, N. I.; Anthoni, S. M.Approximate controllability of fractional integrodifferential evolution equations. J. Appl. Math. 2013, Art. ID 291816, 7 pp.
• Mahmudov, Nazim I. On a class of q-Bernoulli and q-Euler polynomials. Adv. Difference Equ. 2013,2013:108, 11 pp.
• Mahmudov, N. I. Approximate controllability of fractional Sobolev-type evolution equations in Banach spaces. Abstr. Appl. Anal. 2013, Art. ID 502839, 9 pp.
• Sakthivel, R.; Revathi, P.; Mahmudov, N. I. Asymptotic stability of fractional stochastic neutral differential equations with infinite delays.Abstr. Appl. Anal. 2013, Art. ID 769257, 9 pp.
• Mahmudov, N. I.; Şemi, N. Approximate controllability of semilinear control systems in Hilbert spaces. TWMS J. Appl. Eng. Math. 2 (2012), no. 1, 67–74.
• Mahmudov, N. I. Approximation by the q-Szász-Mirakjan operators. Abstr. Appl. Anal. 2012, Art. ID 754217, 16 pp.
• Mahmudov, Nazim I. Approximation properties of bivariate complex q-Bernstein polynomials in the case q>1. Czechoslovak Math. J. 62(137)(2012), no. 2, 557–566.
• Mahmudov, N. I. q-analogues of the Bernoulli and Genocchi polynomials and the SrivastavaPintér addition theorems. Discrete Dyn. Nat. Soc.2012, Art. ID 169348, 8 pp.
• Mahmudov, Nazim; Gupta, Vijay; Kaffaoğlu, Havva On certainq-Phillips operators. Rocky Mountain J. Math. 42 (2012), no. 4, 1291–1312.
• Mahmudov, N. I.; Kara, M. Approximation theorems for generalized complex Kantorovich-type operators. J. Appl. Math. 2012, Art. ID 454579, 14 pp.
• Mahmudov, Nazim Idrisoglu; Sabancigil, Pembe Voronovskaja type theorem for the Lupaş qanalogue of the Bernstein operators. Math. Commun.17 (2012), no. 1, 83–91.
• Sakthivel, R.; Mahmudov, N. I.; Nieto, Juan. J. Controllability for a class of fractional-order neutral evolution control systems. Appl. Math. Comput.218 (2012), no. 20, 10334–10340.
• Mahmudov, N. I.; Gupta, Vijay Approximation by genuine Durrmeyer-Stancu polynomials in compact disks. Math. Comput. Modelling 55(2012), no. 3-4, 278–285.
• Gal, Sorin G.; Gupta, Vijay; Mahmudov, Nazim I.Approximation by a complex q-Durrmeyer type operator. Ann. Univ. Ferrara Sez. VII Sci. Mat. 58 (2012), no. 1, 65–87.
• Mahmudov, Nazim; Sabancigil, Pembe A q-analogue of the Meyer-König and Zeller operators. Bull. Malays. Math. Sci. Soc. (2) 35 (2012), no. 1,39–51.
• Mahmudov, Nazim Idrisoglu; Özarslan, Mehmet Ali;Sabancigil, Pembe I-approximationproperties of certain class of linear positive operators. Studia Sci. Math. Hungar. 48 (2011), no. 2, 205–219.
• Mahmudov, Nazim; Gupta, Vijay On certain q-analogue of Szász Kantorovich operators. J. Appl. Math. Comput. 37 (2011), no. 1-2, 407–419.
• Mahmudov, N. I. Higher order limit q-Bernstein operators. Math. Methods Appl. Sci. 34 (2011), no. 13, 1618–1626.
• Sakthivel, R.; Mahmudov, N. I.; Ren, Yong Approximate controllability of the nonlinear thirdorder dispersion equation. Appl. Math. Comput.217 (2011), no. 21, 8507–8511.
• Mahmudov, N. I. Approximation by genuine q-Bernstein-Durrmeyer polynomials in compact disks. Hacet. J. Math. Stat. 40 (2011),no. 1, 77–89.
• Özarslan, M. Ali; Duman, Oktay; Mahmudov, N. I. Local approximation properties of modified Baskakov operators. Results Math. 59 (2011),no. 1-2, 1–11.
• Sakthivel, R.; Nieto, Juan J.; Mahmudov, N. I. Approximate controllability of nonlinear deterministic and stochastic systems with unbounded delay. Taiwanese J. Math. 14 (2010), no. 5, 1777–1797.
• Mahmudov, N. I., Approximation properties of complex q-Szász-Mirakjan operators in compact disks. Comput. Math. Appl. 60 (2010), no. 6,1784–1791.
• Mahmudov, N. I., Convergence properties and iterations for q-Stancu polynomials in compact disks. Comput. Math. Appl. 59 (2010), no. 12, 3763–3769.
• Mahmudov, N. I., Statistical approximation of Baskakov and Baskakov-Kantorovich operators based on the q-integers. Cent. Eur. J. Math. 8(2010), no. 4, 816–826.
• Mahmudov, N. I.; Sabancigil, P., On genuine q-Bernstein-Durrmeyer operators. Publ. Math. Debrecen 76 (2010), no. 3-4, 465–479.
• Mahmudov, N. I.; Kaffaoǧlu, H., On q-Szász-Durrmeyer operators. Cent. Eur. J. Math. 8 (2010), no. 2, 399–409.
• Mahmudov, N. I., The moments for q-Bernstein operators in the case 0<q<1. Numer. Algorithms 53 (2010), no. 4, 439–450.
• Mahmudov, N. I.; Sabancigil, P., Some approximation properties of q-parametric BBH operators, Journal of Computational Analysis and Applications, vol. 12, no. 1, pp. 111–123, 2010.
• Sakthivel, R.; Mahmudov, N. I.; Lee, Sang-Gu Controllability of non-linear impulsive stochastic systems. Internat. J. Control 82 (2009), no. 5, 801--807.
• Mahmudov, Nazim I. Korovkin-type theorems and applications. Cent. Eur. J. Math. 7 (2009), no. 2, 348--356.
• Sakthivel, R.; Anandhi, E. R.; Mahmudov, N. I. Approximate controllability of second-order systems with state-dependent delay. Numer. Funct. Anal. Optim. 29 (2008), no. 11-12, 1347-1362.
• Mahmudov, N. I.; Sabancigil, P. q-parametric Bleimann Butzer and Hahn operators. J. Inequal. Appl. 2008, Art. ID 816367, 15 pp.
• Samoilenko, A. M.; Mahmudov, N. I.; Stanzhitskii, A. N. Existence, uniqueness, and controllability results for neutral FSDES in Hilbert spaces. Dynam. Systems Appl. 17 (2008), no.1, 53--70.
• Sakthivel, R.; Mahmudov, N. I.; Nieto, Juan. J.; Kim, J. H. On controllability of nonlinear impulsive integrodifferential systems. Dyn. Contin. Discrete Impuls. Syst. Ser. A Math. Anal. 15 (2008), no. 3, 333--343.
• Mahmudov, Nazim I. Approximate controllability of evolution systems with nonlocal conditions. Nonlinear Anal. 68 (2008), no. 3, 536--546.
• Mahmudov, Nazim I.; McKibben, Mark A. On a class of backward McKean-Vlasov stochastic equations in Hilbert space: existence and convergence properties. Dynam. Systems Appl. 16 (2007), no. 4, 643--664.
• Samoilenko, A. M.; Mahmudov, N. I.; Stanzhitskii, A. N. The averaging method and two-sided bounded solutions of stochastic Itô systems. (Russian) Differ. Uravn. 43 (2007), no. 1, 52--63,142.
• Sakthivel, R.; Mahmudov, N. I.; Kim, J. H. Approximate controllability of nonlinear impulsive differential systems. Rep. Math. Phys. 60 (2007), no. 1, 85--96.
• Bashirov, A. E.; Mahmudov, N.; \c Semi, N.; Etikan, H. Partial controllability concepts. Internat. J. Control 80 (2007), no. 1, 1--7.
• Sakthivel, R.; Kim, J.-H.; Mahmudov, N. I. On controllability of nonlinear stochastic systems. Rep. Math. Phys. 58 (2006), no. 3, 433--443.
• Mahmudov, N. I.; McKibben, M. A. Approximate controllability of second-order neutral stochastic evolution equations. Dyn. Contin. Discrete Impuls. Syst. Ser. B Appl. Algorithms 13 (2006), no. 5, 619--634.
• Mahmudov, N. I.; McKibben, M. A. Abstract second-order damped McKean-Vlasov stochastic evolution equations. Stoch. Anal. Appl. 24 (2006), no. 2, 303--328.
• Mahmudov, N. I. Existence and uniqueness results for neutral SDEs in Hilbert spaces. Stoch. Anal. Appl. 24 (2006), no. 1, 79--95.
• Dauer, J. P.; Mahmudov, N. I. Remark on existence result for second order evolution equations in Banach spaces. Int. J. Pure Appl. Math. 12 (2004), no. 4, 471--482.
• Dauer, J. P.; Mahmudov, N. I. Controllability of stochastic semilinear functional differential equations in Hilbert spaces. J. Math. Anal. Appl. 290 (2004), no. 2, 373--394.
• Mahmudov, Nazim Controllability and observability of linear stochastic systems in Hilbert spaces. Stochastic analysis and related topics VIII, 151--167, Progr. Probab., 53, Birkhäuser, Basel, 2003.
• Mahmudov, Nazim I. Controllability of semilinear stochastic systems in Hilbert spaces. J. Math. Anal. Appl. 288 (2003), no. 1, 197--211.
• Mahmudov, N. I.; Zorlu, S. Approximate controllability of semilinear neutral systems in Hilbert spaces. J. Appl. Math. Stochastic Anal. 16 (2003), no. 3, 233--242.
• Mahmudov, Nazim I. On controllability of semilinear stochastic systems in Hilbert spaces. IMA J. Math. Control Inform. 19 (2002), no. 4, 363--376.
• Mahmudov, N. I. The maximum principle for stochastic evolution systems in Hilbert spaces. Int. J. Pure Appl. Math. 2 (2002), no. 3, 287--298.

Assist. Prof Dr.  ARRAN FERNANDEZ

• D. Baleanu, A. Fernandez, “On fractional operators and their classifications", Mathematics, 7(9) (2019), 830. DOI:10.3390/math7090830
• J.-D. Djida, A. Fernandez, I. Area, “Well-posedness results for fractional semi-linear wave equations", Discrete & Continuous Dynamical Systems – B 25(2) (2020), pp. 569–597. DOI: 10.3934/dcdsb.2019255
• T. Abdeljawad, A. Fernandez, "On a new class of fractional difference-sum operators with discrete Mittag-Leffler kernels", Mathematics 7(9) (2019), 772. DOI: 10.3390/math7090772
• Fernandez, C. Ustaoğlu, “On some analytic properties of tempered fractional calculus", Journal of Computational and Applied Mathematics 366 (2020), 112400. DOI: 10.1016/j.cam.2019.112400
• Fernandez, D. Baleanu, H.M. Srivastava, "Corrigendum to “Series representations for fractional-calculus operators involving generalised Mittag-Leffler functions" [Commun. Nonlinear Sci. Numer. Simulat. 67 (2019) 517–527", Communications in Nonlinear Science and Numerical Simulation 82 (2020), 104963. DOI: 10.1016/j.cnsns.2019.104963
• A.K. Golmankhaneh, S. Ashrafi, D. Baleanu, A. Fernandez, “Brownian motion on Cantor sets", International Journal of Nonlinear Science and Numerical Simulation, accepted 2019.
• A.K. Golmankhaneh, A. Fernandez, “Random variables and stable distributions on fractal Cantor sets", Fractal and Fractional 3(2) (2019), 31. DOI: 10.3390/fractalfract3020031
• H.M. Srivastava, A. Fernandez, D. Baleanu, “Some new fractional-calculus connections between Mittag-Leffler functions", Mathematics 7(6) (2019), 485. DOI: 10.3390/math7060485
• Fernandez, “A complex analysis approach to Atangana–Baleanu fractional calculus", Mathematical Methods in the Applied Sciences (2019), pp. 1–18. DOI: 10.1002/mma.5754
• Fernandez, M.A. Özarslan, D. Baleanu, "On fractional calculus with general analytic kernels", Applied Mathematics and Computation 354 (2019), pp. 248–265. DOI: 10.1016/j.amc.2019.02.045
• Fernandez, D. Baleanu, "A novel definition of fractional differintegrals with Mittag-Leffler kernel having a semigroup property", Filomat 33(1) (2019), pp. 245–254. DOI: 10.2298/FIL1901245F
• A.K. Golmankhaneh, A. Fernandez, "Fractal calculus of functions on Cantor tartan spaces", Fractal and Fractional 2(4) (2018). DOI: 10.3390/fractalfract2040030
• Fernandez, D. Baleanu, “Differintegration with respect to functions in fractional models involving Mittag-Leffler functions", SSRN 3275746 (2018).
• J.-D. Djida, A. Fernandez, “Interior regularity estimates for a degenerate elliptic equation with mixed boundary conditions", Axioms 7(3) (2018), pp. 1–16. DOI: 10.3390/axioms7030065
• Fernandez, D. Baleanu, A.S. Fokas, "Solving PDEs of fractional order using the unified transform method", Applied Mathematics and Computation 339C (2018), pp. 738–749. DOI: 10.1016/j.amc.2018.07.061
• Fernandez, D. Baleanu, H.M. Srivastava, "Series representations for fractional-calculus operators involving generalised MittagLeffler functions", Communications in Nonlinear Science and Numerical Simulation, 67 (2019), pp. 517–527. DOI: 10.1016/j.cnsns.2018.07.035
• A.K. Golmankhaneh, A. Fernandez, A.K. Golmankhaneh, D. Baleanu, "Diffusion on middle-ξ Cantor sets", Entropy 20(7) (2018). DOI: 10.3390/e20070504
• Fernandez, A.S. Fokas, "Asymptotics to all orders of the Hurwitz zeta function", Journal of Mathematical Analysis and Applications 465(1) (2018), pp. 423–458. DOI: 10.1016/j.jmaa.2018.05.012
• Fernandez, "The Lerch zeta function as a fractional derivative", Banach Center Publications 118 (2019), pp. 113–124. Preprint available from arXiv:1804.07936. DOI: 10.4064/bc118-7
• Fernandez, "An elliptic regularity theorem for fractional partial differential operators", Computational and Applied Mathematics 37 (2018), pp. 5542–5553. DOI: 10.1007/s40314-018-0618-2
• Fernandez, D. Baleanu, "The mean value theorem and Taylor's theorem for fractional derivatives with Mittag-Leffler kernel", Advances in Difference Equations 2018:86 (2018). DOI: 10.1186/s13662-018-1543-9
• Fernandez, E.A. Spence, A.S. Fokas, "Uniform asymptotics as a stationary point approaches an endpoint", IMA Journal of Applied Mathematics 83(1) (2018), pp. 204–242. DOI: 10.1093/imamat/hxx042
• D. Baleanu, A. Fernandez, "On some new properties of fractional derivatives with Mittag-Leffler kernel", Communications in Nonlinear Science and Numerical Simulation 59 (2018), pp. 444–462. DOI: 10.1016/j.cnsns.2017.12.003
• D. Baleanu, A. Fernandez, "A generalisation of the Malgrange–Ehrenpreis theorem to find fundamental solutions to fractional PDEs", Electronic Journal of Qualitative Theory of Differential Equations 15 (2017), pp. 1–12. DOI: 10.14232/ejqtde.2017.1.15
• Jul 2019 “Models and classifications in fractional calculus", contributed talk, International Society for Analysis, its Applications and Computation 2019 (Aveiro, Portugal).
• Jul 2019 “A general class of fractional-calculus operators and their applications", invited talk, International Istanbul Summer School in Applied Mathematics 2019 (Istanbul, Turkey).
• Jul 2019 “Complex integrals in fractional calculus", contributed talk, International Conference on Computational Methods in Applied Sciences 2019 (Istanbul, Turkey).
• Apr 2019 "Incomplete forms of fractional integrals and derivatives", contributed talk, International Conference on Computational Mathematics and Engineering Sciences 2019 (Antalya, Turkey).
• Jul 2018 "Differintegration with respect to functions in fractional models involving Mittag-Leffler functions", contributed talk, International Conference on Fractional Differentiation and its Applications 2018 (Amman, Jordan).
• Jul 2018 "Generalisation and reduction of fractional models", invited talk, International Conference on Fractional Differentiation and its Applications 2018 (Amman, Jordan).
• Jun 2018 "A series formula for Prabhakar fractional operators", contributed talk, International Conference on Applied Mathematics in Engineering 2018 (Balikesir, Turkey).
• Sep 2017 "Asymptotics to all orders of the Hurwitz zeta function", contributed talk, Number Theory Week 2017 (Poznań, Poland).
• May 2017 "New properties of fractional derivatives defined using Mittag-Leffler kernel", contributed talk, International Conference on Recent Advances in Pure and Applied Mathematics 2017 (Ephesus, Turkey).
• Jul 2016 "Explicit solutions to FPDEs via the Fokas method and fundamental solutions", contributed talk, International Conference on Fractional Differentiation and its Applications 2016 (Novi Sad, Serbia).
• Aug 2015 "Fractional calculus and the Fokas method", contributed talk, Young Researchers in Mathematics 2015 (Oxford, UK).
• Jul 2019 “Zeta functions expressed as fractional derivatives", invited talk, Seminar on Millennium Problems: Riemann Hypothesis, Institute of Mathematics, University of Santiago de Compostela, Spain.
• Apr 2018 "Fractional PDEs, Novel Fractional Models, and Asymptotic Analysis of Zeta Functions", invited talk, Mathematics Department Seminar Series, Bilkent University, Ankara, Turkey.
• Oct 2017 "Fractional Calculus and Analytic Number Theory", invited talk, Analysis and Applied Mathematics Seminar, Series, Çankaya University, Ankara, Turkey.
• May 2016 "Constructing solutions to linear fractional-order PDEs", departmental seminar, Cambridge Analysts Knowledge Exchange, Faculty of Mathematics, University of Cambridge, UK.
• May 2016 "Fractional PDEs", contribution to graduate seminar series, Department of Applied Mathematics and Theoretical Physics, University of Cambridge, UK.
• Nov 2012 "Introduction to Fractional Calculus", series of 1-hour talks, Faculty of Mathematics, University of Cambridge,UK.
• Oct 2012 "Introduction to Fractional Calculus", invited talk, PDE Working Group Seminar, Imperial College London, UK.

Eastern Mediterranean University

Department of Mathematics Famagusta, North Cyprus via Mersin 10, Turkey

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Title: fractional calculus on time scales.

Abstract: We introduce a discrete-time fractional calculus of variations on the time scales $\mathbb{Z}$ and $(h\mathbb{Z})_a$. First and second order necessary optimality conditions are established. Some numerical examples illustrating the use of the new Euler-Lagrange and Legendre type conditions are given. We also give new definitions of fractional derivatives and integrals on time scales via the inverse generalized Laplace transform.

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Smith, Michael M. "PRE-CALCULUS CONCEPTS FUNDAMENTAL TO CALCULUS." University of Akron / OhioLINK, 2006. http://rave.ohiolink.edu/etdc/view?acc_num=akron1164048974.

Moore, Todd. "What calculus do students learn after calculus?" Diss., Kansas State University, 2012. http://hdl.handle.net/2097/14090.

Norris, J. R. "Malliavin calculus." Thesis, University of Oxford, 1985. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.355791.

Dillard, John. "An expert system for pi-Calculus and Api-Calculus reduction /." Available to subscribers only, 2005. http://proquest.umi.com/pqdweb?did=1083544071&sid=17&Fmt=2&clientId=1509&RQT=309&VName=PQD.

Ferreira, Rui Alexandre Cardoso. "Calculus of variations on time scales and discrete fractional calculus." Doctoral thesis, Universidade de Aveiro, 2010. http://hdl.handle.net/10773/2921.

Nebel, Frank. "Nominal lambda calculus." Thesis, University of Leicester, 2015. http://hdl.handle.net/2381/31396.

Almutairi, Fahad. "Nonlocal vector calculus." Kansas State University, 2018. http://hdl.handle.net/2097/38781.

Cruz, Artur Miguel Capêllo Brito da. "Symmetric quantum calculus." Doctoral thesis, Universidade de Aveiro, 2012. http://hdl.handle.net/10773/10467.

Humenn, Polar. "The authorization calculus." Related electronic resource: Current Research at SU : database of SU dissertations, recent titles available, full text:, 2008. http://wwwlib.umi.com/cr/syr/main.

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Madiot, Jean-Marie. "Higher-order languages : dualities and bisimulation enhancements." Thesis, Lyon, École normale supérieure, 2015. http://www.theses.fr/2015ENSL0988/document.

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Stiles, Nancy L. Hathway Robert G. "Graphing calculators and calculus." Normal, Ill. Illinois State University, 1994. http://wwwlib.umi.com/cr/ilstu/fullcit?p9510432.

Caramalho, Domingues João. "Lacroix and the calculus." Basel Boston, Mass. Berlin [Heidelberg] Birkhäuser [Springer], 2008. http://d-nb.info/989963454/34.

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Doctoral Candidate Presents Dissertation Findings at National Conference

Karmen Yu’s research addresses the question: How do undergraduate Calculus I students experience and navigate their learning of calculus in the parallel spaces of coursework and inquiry-oriented complementary instruction?

Posted in: Research Presentations

Doctoral candidate Karmen Yu recently presented findings from her dissertation study at the annual Research in Undergraduate Mathematics Education conference in Omaha, NE. Karmen’s talk, entitled Case Studies of Undergraduate Students’ Agentive Participation in the Parallel Spaces of Calculus I Coursework and Peer-Led, Inquiry-Oriented, Complementary Instruction.  She shared findings from one case study that included characterizations of the different forms of agentive participation afforded to students in each of the two spaces, as well as their complementary nature relative to learning calculus with understanding. It was a fantastic presentation. Karmen’s advisor, Dr. Steven Greenstein, was a contributor to the presentation and was there to support her. Great work, Karmen!