| Autor: |
Khalid Hilal, Ahmed Kajounı, Samira Zerbib |
| Jazyk: |
angličtina |
| Rok vydání: |
2023 |
| Předmět: |
|
| Zdroj: |
Universal Journal of Mathematics and Applications, Vol 6, Iss 3, Pp 122-129 (2023) |
| Druh dokumentu: |
article |
| ISSN: |
2619-9653 |
| DOI: |
10.32323/ujma.1288015 |
| Popis: |
This work aims to study the existing results of mild solutions for a semi-linear Atangana-Baleanu-Caputo fractional differential equation with order $ 0 < \theta < 1 $ in an arbitrary Banach space. We rely on some arguments to present the mild solution to our problem in terms of an $ \theta $-resolvent family. Then we study the existence of this mild solution by using Krasnoselskii's fixed point theorem. Finally, we give an example to prove our results. |
| Databáze: |
Directory of Open Access Journals |
| Externí odkaz: |
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