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

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.