| Autor: |
Thanin Sitthiwirattham, Rozi Gul, Kamal Shah, Ibrahim Mahariq, Jarunee Soontharanon, Khursheed J. Ansari |
| Jazyk: |
angličtina |
| Rok vydání: |
2022 |
| Předmět: |
|
| Zdroj: |
AIMS Mathematics, Vol 7, Iss 3, Pp 4017-4037 (2022) |
| Druh dokumentu: |
article |
| ISSN: |
2473-6988 |
| DOI: |
10.3934/math.2022222?viewType=HTML |
| Popis: |
This article is devoted to investigate a class of non-local initial value problem of implicit-impulsive fractional differential equations (IFDEs) with the participation of the Caputo-Fabrizio fractional derivative (CFFD). By means of Krasnoselskii's fixed-point theorem and Banach's contraction principle, the results of existence and uniqueness are obtained. Furthermore, we establish some results of Hyers-Ulam (H-U) and generalized Hyers-Ulam (g-H-U) stability. Finally, an example is provided to demonstrate our results. |
| Databáze: |
Directory of Open Access Journals |
| Externí odkaz: |
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