Implicit Caputo-Katugampola Fractional Problems with Infinite Delay and Impulses

Authors

  • Salim Krim Ecole National Supérieure d'Oran, BP 1063 SAIM MOHAMED, Oran 31003, Algeria; Laboratory of Mathematics, Djillali Liabes University of Sidi Bel-Abbes, P.O. Box 89 Sidi Bel-Abbes 22000, Algeria
  • Abdelkrim Salim Faculty of Technology, Hassiba Benbouali University of Chlef, P.O. Box 151 Chlef 02000, Algeria; bLaboratory of Mathematics, Djillali Liabes University of Sidi Bel-Abbes, P.O. Box 89 Sidi Bel-Abbes 22000, Algeria Corresponding Author
  • Saïd Abbas bLaboratory of Mathematics, Djillali Liabes University of Sidi Bel-Abbes, P.O. Box 89 Sidi Bel-Abbes 22000, Algeria
  • Mouffak Benchohra Laboratory of Mathematics, Djillali Liabes University of Sidi Bel-Abbes, P.O. Box 89 Sidi Bel-Abbes 22000, Algeria

Keywords:

Caputo-Katugampola fractional order derivative, infinite delay, Schaefer's fixed point theorem, Nonlocal impulsive

Abstract

This paper deals with some existence results for a class of Caputo-Katugampola implicit impulsive fractional differential equations with infinite delay. The results are based on the Schaefer's fixed point theorem. We illustrate our results by an example in the last section.

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Published

2023-12-23

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1 (2023) No. 4

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