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


Najat Chefnaj, Khalid Hilal, Ahmed Kajouni




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 α ∈]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.