Existence and κ-Mittag-Leffler-Ulam-Hyers stability results for implicit coupled (κ,ϑ)-fractional differential systems
| Autor: | A. Salim, C. Derbazi, J. Alzabut, A. Küçükaslan |
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| Jazyk: | angličtina |
| Rok vydání: | 2024 |
| Předmět: | |
| Zdroj: | Arab Journal of Basic and Applied Sciences, Vol 31, Iss 1, Pp 225-241 (2024) |
| Druh dokumentu: | article |
| ISSN: | 25765299 2576-5299 |
| DOI: | 10.1080/25765299.2024.2334130 |
| Popis: | AbstractIn this paper, we delve into the analysis of the existence and stability concerning the [Formula: see text]-Mittag-Leffler-Ulam-Hyers within a particular class of coupled systems related to boundary value problems. These problems entail implicit nonlinear fractional differential equations and [Formula: see text]-generalized ϑ-Hilfer fractional derivatives. To achieve our objectives, we employ the Mönch fixed point theorem, complemented by the application of the measure of noncompactness technique and an extension of the well-established Gronwall inequality. Furthermore, we include an illustrative example to showcase the practical utility of our results. The significance of our research lies in examining a comprehensive problem involving coupled systems, which serves as a generalization encompassing all the works mentioned in the introduction. It is viewed as a logical extension and continuation within the framework of this continually evolving theory. |
| Databáze: | Directory of Open Access Journals |
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