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On Implicit k-Generalized \(\psi \)-Hilfer Fractional Differential Coupled Systems with Periodic Conditions

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Abstract

This paper deals with some existence and uniqueness results for a class of nonlinear fractional coupled systems with k-generalized \(\psi \)-Hilfer fractional differential equations and periodic conditions. The arguments are based on Mawhin’s coincidence degree theory. We demonstrate several results by changing the required conditions of the theorems. Furthermore, illustrative examples are presented to demonstrate the plausibility of our results.

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Authors and Affiliations

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

    Abdelkrim Salim, Mouffak Benchohra & Jamal Eddine Lazreg

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

    Abdelkrim Salim

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  1. Abdelkrim Salim
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  3. Jamal Eddine Lazreg
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Salim, A., Benchohra, M. & Lazreg, J.E. On Implicit k-Generalized \(\psi \)-Hilfer Fractional Differential Coupled Systems with Periodic Conditions. Qual. Theory Dyn. Syst. 22, 75 (2023). https://doi.org/10.1007/s12346-023-00776-1

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