Academic Staff

                                        Dr. Shayma Adil Murad
Dr. Shayma Adil Murad ____________________________
Assistant Professor
Differential Equations
  • Ph.D. In Mathematics / Differential Equations/ Duhok University, 2010, IRAQ.

    M.Sc. In Mathematics/Mosul University,2001, IRAQ.

    B.Sc. In Mathematics/ Mosul University,1999, IRAQ.

  • 1- An Existence and uniqueness theorem for nonlinear integrodifferential equation of generalized order.Journal of Duhok University, 2005.

    2- Finding the general solution for some extraordinary differential equations of Generalized order. J.Education and Science, 2007.

    3-Application of Adomain Decomposition method for solving fractional differential equation. J. Education and Science, 2007.

    4-Existence ,uniqueness and stability theorems for certain Functional fractional initial value problem. Al-Rafidain Journal of Computer Sciences and Mathematics, 2009.

    5-Global Existence and Uniqueness Theorem of Certain Fractional boundary value problem. Journal of Duhok university, 2009.

    6-Some Existence Theorem on fractional integrodifferential equation with fractional boundary condition. Journal of Duhok University, 2010.

    7-Local existence theorem of fractional differential equations in space. Al-Rafidain Journal of Computer Sciences and Mathematics, 2011.

    8-Existence and Uniqueness Theorem of Fractional Mixed Volterra-Fredholm Integrodifferential Equation with Integral Boundary Conditions. International Journal of Differential Equations, 2011.

    9-Existence and uniqueness theorem for fractional equation with integral boundary condition. Journal of Fractional Calculus and Application, 2012.

    10-Existence and Uniqueness for Solution of Differential Equation with Mixture of Integer and Fractional Derivative. Proceedings of the Pakistan Academy of Sciences, 2012.

    11-Numerical Solution of Lane-Emden Equation using Neural Network. Accepted for presentation at ICFAS 2012(conference), AIP Con.Proc 2012.

    12- Exact and Numerical Solution for Fractional Differential Equation based on Neural Network. Proceedings of the Pakistan Academy of Sciences, 2012.

    13-Numerical Solution of Kawahara Equation Using Neural Network. Journal of University of Zakho, 2014.

    14-On the Solution of Mixed Order Fractional Integro-Differential Equations with Integral Boundary Conditions . Proceedings of International Conference on Fractional Differentiation and its Applications (ICFDA) 2018.

    15-EXISTENCE AND UNIQUENESS RESULTS FOR CERTAIN FRACTIONAL BOUNDARY VALUE PROBLEMS, Journal of University of Duhok, Vol. 22, No.2 (Pure and Eng. Sciences),2019.

    16-Existence of solutions of integro-fractional differential equation when α∈(2, 3] through fixed point theorem, J. Math. Comput. Sci. 11 (5), 2021.

    17-Existence and Ulam stability for fractional differential equations of mixed Caputo-Riemann derivatives, AIMS Mathematics 7 (4), 2022.

    18-p-integrable solution of boundary fractional differential and integro-differential equations with Riemann derivatives of order (n− 1< δ≤ n), Montes Taurus J. Pure Appl. Math. 4 (2), 2022.

    19- Certain Analysis of Solution for the Nonlinear Two-Point Boundary Value Problem with Caputo Fractional Derivative. Journal of Function Spaces 2022.

    20- Existence and Ulam stability of solutions for Caputo-Hadamard fractional differential equations. General Letters in Mathematics, 12 (2), 2022.

  • Applied Mathematics

    Differential Equations (Ordinary , Partial)

    Fractional Differential Equations

    Fractional Calculus

    Boundary Value Problems

    Numerical Analysis

    Integral Equations

    Functional Analysis, Special Functions

  • First Year : Foundation of Mathematics, Calculus, Academic Debate.

    Second year : Advanced Calculus, Ordinary Differential Equations.

    Third Year : Partial Differential Equations, Boundary Value Problems, Numerical Analysis.

    Fourth Year : Special Functions

    M.Sc. Students : Fractional Differential Equations

  • Dilsher N. Abdulqader , Some Existence Results for Certain Fractional Differential and Integro Differential Equations with Analytical Approximate Solutions, M.Sc. Thesis, 2020.

    Salih Ibrahim Mohammed, Existence of Solution for Certain Mixed Fractional Differential and Integro-Differential Equations with a Numerical Method, M.Sc. Thesis, 2022.

  • 1- UAE Math Day Conference, American University of Sharjah, April 2012.

    Scientific Conference of Zakho University, April 2013.

    2- International Conference on Fractional Differentiation & its Applications (ICFDA) 2018. (16-18 July )Jordan.

    3-The 5th Kurdistan International Conference on Science and Technology , University of Duhok, College of Science. April, 2019.


  • No CV available