A Study on Some Conformable Fractional Problems with Delay in b-Metric Spaces

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; Laboratory of Mathematics, Djillali Liabes University of Sidi Bel-Abbes, P.O. Box 89 Sidi Bel-Abbes 22000, Algeria Corresponding Author
  • Saïd Abbas Department of Electronics, University of Saïda–Dr. Moulay Tahar, P.O. Box 138, Saïda 20000, Algeria
  • Mouffak Benchohra Laboratory of Mathematics, Djillali Liabes University of Sidi Bel-Abbes, P.O. Box 89 Sidi Bel-Abbes 22000, Algeria

Keywords:

Conformable fractional integral, delay, b-metric space, alpha-psi Geraghty contraction, fixed point

Abstract

This paper deals with some existence results for a class of conformable implicit fractional differential equations with delay in \(b\)-metric spaces. The results are based on the \(\alpha-\phi\)-Geraghty type contraction and the fixed point theory. We illustrate our results by an example in the last section.

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Published

2023-10-23

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1 (2023) No. 4

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