| Autor: |
M.J. Huntul |
| Jazyk: |
angličtina |
| Rok vydání: |
2024 |
| Předmět: |
|
| Zdroj: |
Results in Applied Mathematics, Vol 24, Iss , Pp 100517- (2024) |
| Druh dokumentu: |
article |
| ISSN: |
2590-0374 |
| DOI: |
10.1016/j.rinam.2024.100517 |
| Popis: |
This paper focuses on the backward problem related to an integro-differential equation with a general convolutional derivative in time and nonlinear source terms. The existence, uniqueness, and regularity of the mild solution to the proposed problem are established under certain assumptions in a suitable space. The proposed problem is ill-posed in the sense of Hadamard. Moreover, the Fourier truncation method is used to construct a regularized solution. Finally, the convergence rate between the regularized solution and the exact solution is determined. |
| Databáze: |
Directory of Open Access Journals |
| Externí odkaz: |
|
