Partial hyperbolic implicit differential equations with variable times impulses

Authors

  • Said ABBAS Laboratory of Mathematics, University of Saïda P.O. Box 138, 20000, Saïda, Algeria e-mail: abbasmsaid@yahoo.fr
  • Mouffak BENCHOHRA Laboratory of Mathematics, University of Sidi Bel-Abbes P.O. Box 89, 22000, Sidi Bel-Abbes, Algeria Department of Mathematics, Faculty of Science King Abdulaziz University P.O. Box 80203, Jeddah 21589, Saudi Arabia e-mail: benchohra@univ-sba.dz https://orcid.org/0000-0003-3063-9449
  • Boualem Attou SLIMANI Faculte des Sciences de l'Ingenieur, Universite de Tlemcen B.P. 119, 13000, Tlemcen, Algerie e-mail: ba_slimani@yahoo.fr

Keywords:

Partial hyperbolic differential equation, fractional order, left-sided mixed Riemann-Liouville integral, mixed regularized derivative, impulse, variable times, solution, fixed point.

Abstract

In this paper we investigate the existence of solutions for the initial value problems (IVP for short), for a class of functional hyperbolic impulsive implicit dierential equations with variable time impulses involving the mixed regularized fractional derivative. Our works will be considered by using Schaefer's fixed point.

Mathematics Subject Classification (2010): 26A33, 34A37.

References

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Published

2015-03-30

How to Cite

ABBAS, S., BENCHOHRA, M., & SLIMANI, B. A. (2015). Partial hyperbolic implicit differential equations with variable times impulses. Studia Universitatis Babeș-Bolyai Mathematica, 60(1), 61–73. Retrieved from https://studia.reviste.ubbcluj.ro/index.php/subbmathematica/article/view/5667

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