Existence and uniqueness of solutions to nonlinear impulsive hybrid differential equations with linear and nonlinear perturbations

Abstract

In this paper, we establish the existence and uniqueness of solutions to impulsive nonlinear hybrid fractional differential equations, considering both linear and nonlinear perturbations. Our approach relies on the nonlinear alternative of Leray-Schauder type, in conjunction with Banach’s fixed-point theorem. Additionally, we provide an illustrative example to showcase the applicability of our results.