Please use this identifier to cite or link to this item:
http://hdl.handle.net/10773/26381| Title: | Optimal control of a nonlocal thermistor problem with ABC fractional time derivatives |
| Author: | Ammi, Moulay Rchid Sidi Torres, Delfim F. M. |
| Keywords: | ABC fractional derivatives Fractional partial differential equations Existence of solutions Optimal control |
| Issue Date: | 1-Sep-2019 |
| Publisher: | Elsevier |
| Abstract: | We study an optimal control problem associated to a fractional nonlocal thermistor problem involving the ABC (Atangana-Baleanu-Caputo) fractional time derivative. We first prove the existence and uniqueness of solution. Then, we show that an optimal control exists. Moreover, we obtain the optimality system that characterizes the control. |
| Peer review: | yes |
| URI: | http://hdl.handle.net/10773/26381 |
| DOI: | 10.1016/j.camwa.2019.03.043 |
| ISSN: | 0898-1221 |
| Appears in Collections: | CIDMA - Artigos DMat - Artigos SCG - Artigos |
Files in This Item:
| File | Description | Size | Format | |
|---|---|---|---|---|
| [436]Sidi-Ammi_Torres_ABC.pdf | 315.08 kB | Adobe PDF |  |
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