Open Access

Global Uniqueness Results for Fractional Order Partial Hyperbolic Functional Differential Equations

Advances in Difference Equations20112011:379876

https://doi.org/10.1155/2011/379876

Received: 22 November 2010

Accepted: 29 January 2011

Published: 24 February 2011

Abstract

We investigate the global existence and uniqueness of solutions for some classes of partial hyperbolic differential equations involving the Caputo fractional derivative with finite and infinite delays. The existence results are obtained by applying some suitable fixed point theorems.

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Authors’ Affiliations

(1)
Laboratoire de Mathématiques, Université de Saïda
(2)
Laboratoire de Mathématiques, Université de Sidi Bel-Abbès
(3)
Departamento de Análisis Matemático, Facultad de Matemáticas, Universidad de Santiago de Compostela

Copyright

© Saïd Abbas et al. 2011

This article is published under license to BioMed Central Ltd. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.