On Implicit k-Generalized Ã-Hilfer Fractional Differential Coupled Systems with Periodic Conditions

• Abdelkrim Salim ^[1] ; Mouffak Benchohra ^[2] ; Jamal Eddine Lazreg ^[2]
  1. [1] Djillali Liabes University of Sidi Bel-Abbes & Hassiba Benbouali University of Chlef
  2. [2] Djillali Liabes University of Sidi Bel-Abbes
• Localización: Qualitative theory of dynamical systems, ISSN 1575-5460, Vol. 22, Nº 2, 2023
• Idioma: inglés
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• Resumen

  • This paper deals with some existence and uniqueness results for a class of nonlinear fractional coupled systems with k-generalized ψ-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.