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On Implicit Impulsive Conformable Fractional Differential Equations with Infinite Delay in b-Metric Spaces

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Abstract

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

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Author notes

  1. Salim Krim, Abdelkrim Salim, Saïd Abbas and Mouffak Benchohra authors have contributed equally to this work.

Authors and Affiliations

  1. Laboratory of Mathematics, Djillali Liabes University, P.O. Box 89, 22000, Sidi Bel-Abbes, Algeria

    Salim Krim, Abdelkrim Salim & Mouffak Benchohra

  2. Faculty of Technology, Hassiba Benbouali University, P.O. Box 151, 02000, Chlef, Algeria

    Abdelkrim Salim

  3. Department of Electronics, University of Saïda–Dr. Moulay Tahar, P.O. Box 138, EN-Nasr, 20000, Saïda, Algeria

    Saïd Abbas

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  1. Salim Krim
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Krim, S., Salim, A., Abbas, S. et al. On Implicit Impulsive Conformable Fractional Differential Equations with Infinite Delay in b-Metric Spaces. Rend. Circ. Mat. Palermo, II. Ser 72, 2579–2592 (2023). https://doi.org/10.1007/s12215-022-00818-8

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