Coupled system of nonlinear impulsive hybrid differential equations with linear and nonlinear perturbations

Abstract

In the present paper, we prove the existence and uniqueness of solutions to impulsive coupled system of nonlinear hybrid fractional differential equations involving Caputo fractional derivative of order α ∈ (0, 1) with linear and nonlinear perturbations. We prove our main results by applying the nonlinear alternative of Leray-Schauder type and Banach’s fixed-point theorem. As application, On example is included to show the applicability of our results.