On Periodic solutions for implicit nonlinear Caputo tempered fractional differential problems

On Periodic solutions for implicit nonlinear Caputo tempered fractional differential problems

The main goal of this article is to study the existence and uniqueness of periodic solutions for the implicit problem with nonlinear fractional differential equation involving the Caputo tempered fractional derivative. The proofs are based upon the coincidence degree theory of Mawhin. To show the ef...

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Veröffentlicht in:Demonstratio mathematica 2024-05, Vol.57 (1), p.1264-1279
Hauptverfasser: Bouriah, Soufyane, Salim, Abdelkrim, Benchohra, Mouffak, Karapinar, Erdal
Format: Artikel
Sprache:eng
Schlagworte:
34A08
34B10
34B40
coincidence degree theory
existence
implicit problems
tempered fractional operators
uniqueness
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Beschreibung
Zusammenfassung:The main goal of this article is to study the existence and uniqueness of periodic solutions for the implicit problem with nonlinear fractional differential equation involving the Caputo tempered fractional derivative. The proofs are based upon the coincidence degree theory of Mawhin. To show the efficiency of the stated result, two illustrative examples will be demonstrated.
ISSN:2391-4661
2391-4661
DOI:10.1515/dema-2023-0154