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ArticleOriginal scientific text

Title

Fractional order impulsive partial hyperbolic differential inclusions with variable times

Authors 1, 2, 3, 4

Affiliations

  1. Laboratoire de Mathématiques, Université de Saïda, B.P. 138, 20000, Saïda, Algérie
  2. Laboratoire de Mathématiques, Université de Sidi Bel-Abbès, B.P. 89, 22000, Sidi Bel-Abbès, Algérie
  3. Institute of Mathematics, Kazimierz Wielki University, Weyssenhoffa 11, 85-072 Bydgoszcz, Poland
  4. J. Schauder Center for Nonlinear Studies, University of Nicolaus Copernicus, 87-100 Toruń, Poland

Abstract

This paper deals with the existence of solutions to some classes of partial impulsive hyperbolic differential inclusions with variable times involving the Caputo fractional derivative. Our works will be considered by using the nonlinear alternative of Leray-Schauder type.

Keywords

ENG
impulsive functional differential inclusions, fractional order, solution, left-sided mixed Riemann-Liouville integral, Caputo fractional-order derivative, variable times, fixed point

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Discussiones Mathematicae, Differential Inclusions, Control and Optimization
2011/31/1
Export to PBN, Opens in new tab
Pages:
91-114
Main language of publication
English
Received
2010-05-11
Published
2011

DOI: 10.7151/dmdico.1129

Exact and natural sciences