On fractional order hybrid differential equations

Abstract

We develop the theory of fractional hybrid differential equations with linear and nonlinear perturbations involving the Caputo fractional derivative of order 0 << 1. Using some fixed point theorems we prove the existence of mild solutions for two types of hybrid equations. Examples are given to illustrate the obtained results. © 2014 Mohamed A. E. Herzallah and Dumitru Baleanu.