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  • Research Article
  • 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:

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.

Keywords

  • Differential Equation
  • Ordinary Differential Equation
  • Functional Equation
  • Point Theorem
  • Fractional Order

Publisher note

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Authors’ Affiliations

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

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.

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