Existence results for fractional impulsive integro-differential equations with integral conditions of Katugampola type

Abstract

We study the existence and uniqueness of solutions of impulsive fractional integro-differential equations of order $\alpha_{1} \in (2,3]$ with the Katugampola integral boundary conditions. Krasnoselkii's fixed point theorem and Banach contraction principle are used to prove the existence and uniqueness results. An example is also presented at the end.