- Proceedings of International Mathematical Sciences
- Vol: 2 Issue: 1
- Existence of solution for a systems of coupled fractional boundary value problem
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