Existence and Stability Results of a Nonlinear Fractional Integro-Differential Equation with Integral Boundary Conditions

Abstract

This paper deals with the stability results for solution of a fractional integro-differential problem with integral conditions. Using the Krasnoselskii’s, Banach fixed point theorems, we proof the existence and uniqueness results. Based on the results obtained, conditions are provided that ensure the generalized Ulam stability of the original system. The results are illustrated by an example.