Compactness of boundary value problems for impulsive integro-differential equation

Abstract

In this paper, we establish sufficient conditions to show the compactness of solution set of boundary value problems for impulsive integro-differential equation using ψ-Hilfer fractional operator in a appropriate Banach space. The method we use to show our result is based on fixed point theorems for Meir-Keeler condensing operators via measure of non-compactness, an example is presented to illustrate our method.