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


P Karthikeyan, K Venkatachalam, Syed Abbas




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.