On Periodic Solutions for Coupled Systems with Caputo Tempered Fractional Derivative

Authors

  • Djilali Benzenati Laboratory of Mathematics, Djillali Liabes University of Sidi Bel-Abbes, P.O. Box 89 Sidi Bel-Abbes 22000, Algeria; Department of Mathematics, Faculty of Exact Sciences and Informatics, University Hassiba Benbouali of Chlef, Algeria
  • Soufyane Bouriah Department of Mathematics, Faculty of Exact Sciences and Informatics, University Hassiba Benbouali of Chlef, Algeria; Laboratory of Mathematics and Applications, Hassiba Benbouali University of Chlef, Hay Salem, P.O. Box 151 Chlef, Algeria
  • Abdelkrim Salim Laboratory of Mathematics, Djillali Liabes University of Sidi Bel-Abbes, P.O. Box 89 Sidi Bel-Abbes 22000, Algeria; Faculty of Technology, Hassiba Benbouali University of Chlef, P.O. Box 151 Chlef 02000, Algeria Corresponding Author
  • Mouffak Benchohra Laboratory of Mathematics, Djillali Liabes University of Sidi Bel-Abbes, P.O. Box 89 Sidi Bel-Abbes 22000, Algeria

Keywords:

Coincidence degree theory, existence, uniqueness, Tempered fractional operators, coupled system

Abstract

The main goal of this paper is to study the existence and uniqueness of periodic solutions for coupled system with Caputo tempered  fractional derivative. The proofs are based upon the coincidence degree theory of Mawhin. An example is constructed to authenticate and affirm the main findings.

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Published

2024-06-19

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2 (2024) No. 2

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