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http://hdl.handle.net/10773/11904| Title: | Multiobjective fractional variational calculus in terms of a combined Caputo derivative |
| Author: | Malinowska, A. B. Torres, D. F. M. |
| Keywords: | Fractional derivatives in the sense of Caputo Fractional Euler-Lagrange equations Multiobjective optimization Pareto minimizers Variational analysis Euler-Lagrange equations Multi objective Euler equations Lagrange multipliers Variational techniques |
| Issue Date: | 2012 |
| Publisher: | Elsevier |
| Abstract: | The study of fractional variational problems in terms of a combined fractional Caputo derivative is introduced. Necessary optimality conditions of Euler-Lagrange type for the basic, isoperimetric, and Lagrange variational problems are proved, as well as transversality and sufficient optimality conditions. This allows to obtain necessary and sufficient Pareto optimality conditions for multiobjective fractional variational problems. © 2011 Elsevier Inc. All rights reserved. |
| Peer review: | yes |
| URI: | http://hdl.handle.net/10773/11904 |
| DOI: | 10.1016/j.amc.2011.10.075 |
| ISSN: | 0096-3003 |
| Appears in Collections: | CIDMA - Artigos |
Files in This Item:
| File | Description | Size | Format | |
|---|---|---|---|---|
| [206]Multiobjective_FVC.pdf | 240.33 kB | Adobe PDF |  |
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