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On Fractional Order Hybrid Differential Equations
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