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

Year 2020, Volume: 2 Issue: 1, 48 - 59, 30.06.2020

Djourdem Habib

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

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