Advances in Difference Equations
Volume 2011 (2011), Article ID 379876, 25 pages
doi:10.1155/2011/379876
Research Article

Global Uniqueness Results for Fractional Order Partial Hyperbolic Functional Differential Equations

Saïd Abbas,1 Mouffak Benchohra,2 and Juan J. Nieto3

1Laboratoire de Mathématiques, Université de Saïda, P.O. Box 138, Saïda 20000, Algeria
2Laboratoire de Mathématiques, Université de Sidi Bel-Abbès, P.O. Box 89, Sidi Bel-Abbès 22000, Algeria
3Departamento de Análisis Matemático, Facultad de Matemáticas, Universidad de Santiago de Compostela, 15782 Santiago de Compostela, Spain

Received 22 November 2010; Accepted 29 January 2011

Academic Editor: J. J. Trujillo

Copyright © 2011 Saïd Abbas et al. 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.

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.