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2014 On Fractional Order Hybrid Differential Equations
Mohamed A. E. Herzallah, Dumitru Baleanu
Abstr. Appl. Anal. 2014: 1-7 (2014). DOI: 10.1155/2014/389386


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


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Mohamed A. E. Herzallah. Dumitru Baleanu. "On Fractional Order Hybrid Differential Equations." Abstr. Appl. Anal. 2014 1 - 7, 2014.


Published: 2014
First available in Project Euclid: 2 October 2014

zbMATH: 07022286
MathSciNet: MR3191039
Digital Object Identifier: 10.1155/2014/389386

Rights: Copyright © 2014 Hindawi

Vol.2014 • 2014
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