On existence of solutions for integral boundary value problem of differential equations with fractional order q ∈ (4,5]

Mohammed M. Matar

Abstract

This paper studies the existence of solutions for nonlinear fractional differential equations of order q ∈ (4,5] with integral boundary conditions. Our results are based on some fixed point theorems such as Banach, Krasnoselskii, and Leray-Schauder degree theory. The theorems are illustrated by an example.

How to Cite this Article

Mohammed M. Matar, On existence of solutions for integral boundary value problem of differential equations with fractional order q ∈ (4,5], J. Math. Comput. Sci., 6 (2016), 188-202

Copyright © 2016 Mohammed M. Matar. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.