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Partial Hyperbolic Functional Differential Inclusions

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Book cover Topics in Fractional Differential Equations

Part of the book series: Developments in Mathematics ((DEVM,volume 27))

Abstract

In this chapter, we shall present existence results for some classes of initial value problems for partial hyperbolic differential inclusions with fractional order involving the Caputo fractional derivative, when the right-hand side is convex as well as nonconvex valued. Some results rely on the nonlinear alternative of Leray–Schauder type. In other results, we shall use the fixed-point theorem for contraction multivalued maps due to Covitz and Nadler.

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  1. Laboratoire de Mathématiques, Université de Saïda, Saïda, Algeria

    Saïd Abbas

  2. Laboratoire de Mathématiques, Université de Sidi Bel-Abbès, Sidi Bel-Abbès, Algeria

    Mouffak Benchohra

  3. Department of Mathematics, Morgan State University, Baltimore, MD, USA

    Gaston M. N’Guérékata

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Abbas, S., Benchohra, M., N’Guérékata, G.M. (2012). Partial Hyperbolic Functional Differential Inclusions. In: Topics in Fractional Differential Equations. Developments in Mathematics, vol 27. Springer, New York, NY. https://doi.org/10.1007/978-1-4614-4036-9_4

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