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Regularization of a sideways problem for a time-fractional diffusion equation with nonlinear source
| Content Provider | Scilit |
|---|---|
| Author | Ngoc, Tran Bao Tuan, Nguyen Huy Kirane, Mokhtar |
| Copyright Year | 2019 |
| Abstract | In this paper, we consider an inverse problem for a time-fractional diffusion equation with a nonlinear source. We prove that the considered problem is ill-posed, i.e., the solution does not depend continuously on the data. The problem is ill-posed in the sense of Hadamard. Under some weak a priori assumptions on the sought solution, we propose a new regularization method for stabilizing the ill-posed problem. We also provide a numerical example to illustrate our results. |
| Related Links | http://www.degruyter.com/downloadpdf/j/jiip.ahead-of-print/jiip-2018-0040/jiip-2018-0040.xml |
| Ending Page | 235 |
| Page Count | 25 |
| Starting Page | 211 |
| ISSN | 09280219 |
| e-ISSN | 15693945 |
| DOI | 10.1515/jiip-2018-0040 |
| Journal | Journal of Inverse and Ill-Posed Problems |
| Issue Number | 2 |
| Volume Number | 28 |
| Language | English |
| Publisher | Walter de Gruyter GmbH |
| Publisher Date | 2020-04-01 |
| Access Restriction | Open |
| Subject Keyword | Journal of Inverse and Ill-posed Problems Applied Mathematics Ill-posed Regularization Method Caputo's Fractional Derivatives Fourier Transform Journal: Journal of Inverse and Ill-Posed Problems, Vol- 28 |
| Content Type | Text |
| Resource Type | Article |
| Subject | Applied Mathematics |
