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

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

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 ch...

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Veröffentlicht in:Qualitative theory of dynamical systems 2023-06, Vol.22 (2), Article 75
Hauptverfasser: Salim, Abdelkrim, Benchohra, Mouffak, Lazreg, Jamal Eddine
Format: Artikel
Sprache:eng
Schlagworte:
Difference and Functional Equations
Differential equations
Dynamical Systems and Ergodic Theory
Fractional calculus
Mathematics
Mathematics and Statistics
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Zusammenfassung: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.
ISSN:1575-5460
1662-3592
DOI:10.1007/s12346-023-00776-1