| Autor: |
Shayma Adil Murad |
| Jazyk: |
angličtina |
| Rok vydání: |
2022 |
| Předmět: |
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| Zdroj: |
Journal of Function Spaces, Vol 2022 (2022) |
| Druh dokumentu: |
article |
| ISSN: |
2314-8888 |
| DOI: |
10.1155/2022/1385355 |
| Popis: |
In this paper, the existence and uniqueness of solutions for a nonlinear fractional differential equation with a two-point boundary condition in a Banach space are investigated by using the contraction mapping principle and the Brouwer fixed-point theorem with Bielecki norm. The iterative scheme of the numerical solution for the nonlinear two-point boundary value problem will be discussed and illustrated by solving some problems. The well-known Ulam-Hyers and Ulam-Hyers-Rassias stability theorems are employed to establish the stability of solutions to the boundary value problem. In the end, we provided a couple of examples to support our results. |
| Databáze: |
Directory of Open Access Journals |
| Externí odkaz: |
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