Existence of the solution for hybrid differential equation with Caputo-Fabrizio fractional derivative

Abstract

In this manuscript, we are interested in the existence result of the solution of hybrid nonlinear differential equations. involving fractional Caputo Fabrizio derivatives of arbitrary order ? ?]0, 1[. By applying Dhage?s fixed point theorem and some fractional analysis techniques, we prove our main result. As an application, A non-trivial example is given to demonstrate the effectiveness of our theoretical result.