N Nonlinear Impulsive Hybrid Differential Equations with Linear and Nonlinear Perturbations: A Study Involving the ψ− Caputo Fractional Derivative

Impulsive Hybrid Differential Equations

Abstract

In this work, we prove the existence and uniqueness of solutions to a system of impulsive coupled nonlinear hybrid fractional differential equations that involve the $\psi$-Caputo fractional derivative, with both linear and nonlinear perturbations. The results are established using the nonlinear alternative of Leray-Schauder type and Banach's fixed-point theorem.