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Advances in Continuous and Discrete Models

Theory and Modern Applications

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Global Uniqueness Results for Fractional Order Partial Hyperbolic Functional Differential Equations

Advances in Difference Equations volume 2011, Article number: 379876 (2011) Cite this article

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 and Affiliations

  1. Laboratoire de Mathématiques, Université de Saïda, P.O. Box 138, Saïda, 20000, Algeria

    Saïd Abbas

  2. Laboratoire de Mathématiques, Université de Sidi Bel-Abbès, P.O. Box 89, Sidi Bel-Abbès, 22000, Algeria

    Mouffak Benchohra

  3. Departamento de Análisis Matemático, Facultad de Matemáticas, Universidad de Santiago de Compostela, 15782, Santiago de Compostela, Spain

    JuanJ Nieto

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  1. Saïd Abbas
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  2. Mouffak Benchohra
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  3. JuanJ Nieto
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Correspondence to JuanJ Nieto.

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Open Access This article is distributed under the terms of the Creative Commons Attribution 2.0 International License ( https://creativecommons.org/licenses/by/2.0 ), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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Abbas, S., Benchohra, M. & Nieto, J. Global Uniqueness Results for Fractional Order Partial Hyperbolic Functional Differential Equations. Adv Differ Equ 2011, 379876 (2011). https://doi.org/10.1155/2011/379876

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

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