On Fractional Order Hybrid Differential Equations

Mohamed A. E. Herzallah, Dumitru Baleanu
2014 Abstract and Applied Analysis  
We develop the theory of fractional hybrid differential equations with linear and nonlinear perturbations involving the Caputo fractional derivative of order0<α<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.
doi:10.1155/2014/389386 fatcat:usvpodn46nfoljtlydw33vlckq