Stability results on non-instantaneous impulsive fractional integro-differential equations with multipoint boundary conditions

Abstract

The Ulam-Hyers stability for non-instantaneous impulsive fractional integro differential equations in a Banach space with Caputo-Katugampola fractional derivative is the main focus of this paper. The Krasnoselskii fixed
point theorem and the contraction principle play a role in establishing sufficient conditions for existence and uniqueness results. An application is also
shown.