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http://hdl.handle.net/10773/33054| Title: | Optimality conditions involving the Mittag–Leffler tempered fractional derivative |
| Author: | Almeida, Ricardo Morgado, M. Luísa |
| Keywords: | Fractional calculus Calculus of variations Tempered fractional derivative Mittag–Leffler function Numerical methods |
| Issue Date: | Mar-2022 |
| Publisher: | American Institute of Mathematical Sciences (AIMS) |
| Abstract: | In this work we study problems of the calculus of the variations, where the differential operator is a generalization of the tempered fractional derivative. Different types of necessary conditions required to determine the optimal curves are proved. Problems with additional constraints are also studied. A numerical method is presented, based on discretization of the variational problem. Through several examples, we show the efficiency of the method. |
| Peer review: | yes |
| URI: | http://hdl.handle.net/10773/33054 |
| DOI: | 10.3934/dcdss.2021149 |
| ISSN: | 1937-1632 |
| Publisher Version: | https://www.aimsciences.org/article/doi/10.3934/dcdss.2021149 |
| Appears in Collections: | CIDMA - Artigos DMat - Artigos SCG - Artigos |
Files in This Item:
| File | Description | Size | Format | |
|---|---|---|---|---|
| [2022] Optimality conditions involving the Mittag--Leffler tempered fractional derivative.pdf | 322.7 kB | Adobe PDF |  |
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