Some Existence Results For Higher Order Fractional Differential Equations with Multi-Strip Riemann-Liouville Type Fractional Integral Boundary Conditions

Abstract

In this article, we establish the existence of a solution for nonlinear fractional differential equations of order q ∈ (n − 1, n], n ≥ 2 with multi-strip fractional integral boundary condition by using Krasnoselskii's fixed point theorem and the uniqueness result is proved by Banach's fixed point theorem. Finally, Examples are provided to illustrate our results.

Existence results for higher order fractional differential equations with integral boundary conditions via Kuratowski measure of noncompactnes

“…In [15], Duraisamy et al, used some fixed point theorems to debate the existence of solutions of higher order FDEs given by…”