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On Fractional Order Hybrid Differential Equations

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2014

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Hindawi Publishing Corporation

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Matematik
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Abstract

We develop the theory of fractional hybrid differential equations with linear and nonlinear perturbations involving the Caputo fractional derivative of order 0 < alpha < 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.

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Herzallah, Mohamed/0000-0003-3514-3709

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Baleanu, Dimitru; Herzallah, Mohamed A. E., "On Fractional Order Hybrid Differential Equations", Abstract and Applied Analysis, (2014).

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