On the solvability and Ulam-Hyers stability for coupled fractional differential equations with impulsive effects

Abstract

This paper presents a study of a coupled system of nonlinear impulsive fractional differential equations involving Caputo derivatives. The system is subject to finitely many impulsive conditions that induce discontinuities in the state variables. Existence results via fixed-point techniques in generalized Banach spaces together with Ulam-Hyers stability are investigated. To demonstrate applicability of the theoretical results, two illustrative examples are presented.