Existence results for nonlinear hybrid fractional differential equations with generalized [Ψ, Φ]-Caputo-Fabrizio derivative

Abstract

The aim of this paper is to develop a theory of fractional hybrid differential equations with perturbations of second type involving [?, ?] Caputo-Fabrizio fractional derivative of an arbitrary order ? ? (0, 1). We demonstrate the existence and uniqueness of solutions for a particular class of nonlinear frac-tional hybrid differential equations with initial conditions by applying Banach?s fixed point theorem and some fundamental concepts on fractional analysis. As an example, a significant case is given to illustrate the utility of our theoretical findings. We also, give a simulation of the solution by applying the Adams Bashford with three steps method.