Existence of Solutions for Fractional Integro-Differential Equations with Non-Local Boundary Conditions

Abstract

In this paper, we study the existence of solutions for a new class of boundary value problems of non-linear fractional integro-differential equations. The existence result is obtained with the aid of Schauder type fixed point theorem while the uniqueness of solution is established by means of contraction mapping principle. Then, we present some examples to illustrate our results.

Keywords

• fractional differential equations
• Caputo fractional derivative
• fixed point theorem