Existence of solution for a systems of coupled fractional boundary value problem

Authors : Djourdem Habib

Pages : 48-59

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Publication Date : 2020-06-30

Article Type : Research

Abstract :This paper deals with the existence and uniqueness of solutions for a coupled system of fractional differential equations with coupled nonlocal and integral boundary conditions. The existence results are obtained by using Leray-Shauder nonlinear alternative and Banach contraction principle. An illustrative example is presented at the end of the paper to illustrate the validity of our results.
Keywords : Fractional differential systems, existence, nonlocal boundary, fixed-point theorem