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2012 Existence Results for the Distributed Order Fractional Hybrid Differential Equations
Hossein Noroozi, Alireza Ansari, Mohammad Shafi Dahaghin
Abstr. Appl. Anal. 2012: 1-16 (2012). DOI: 10.1155/2012/163648

Abstract

We introduce the distributed order fractional hybrid differential equations (DOFHDEs) involving the Riemann-Liouville differential operator of order 0 < q < 1 with respect to a nonnegative density function. Furthermore, an existence theorem for the fractional hybrid differential equations of distributed order is proved via a fixed point theorem in the Banach algebras under the mixed Lipschitz and Caratheodory conditions.

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Hossein Noroozi. Alireza Ansari. Mohammad Shafi Dahaghin. "Existence Results for the Distributed Order Fractional Hybrid Differential Equations." Abstr. Appl. Anal. 2012 1 - 16, 2012. https://doi.org/10.1155/2012/163648

Information

Published: 2012
First available in Project Euclid: 28 March 2013

zbMATH: 1261.34010
MathSciNet: MR2999893
Digital Object Identifier: 10.1155/2012/163648

Rights: Copyright © 2012 Hindawi

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