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http://hdl.handle.net/10773/18545
Title: | Optimality conditions for fractional variational problems with free terminal time |
Author: | Almeida, Ricardo |
Keywords: | Fractional calculus Euler–Lagrange equation Legendre condition Isoperimetric problem |
Issue Date: | 2018 |
Publisher: | American Institute of Mathematical Sciences |
Abstract: | This paper provides necessary and sufficient conditions of optimality for variational problems that deal with a fractional derivative with respect to another function. Fractional Euler–Lagrange equations are established for the fundamental problem and when in presence of an integral constraint. A Legendre condition, which is a second-order necessary condition, is also obtained. Other cases, such as the infinite horizon problem, the problem with delays in the Lagrangian, and the problem with high-order derivatives, are considered. Finally, a necessary condition for the optimal fractional order to satisfy is proved. |
Peer review: | yes |
URI: | http://hdl.handle.net/10773/18545 |
DOI: | 10.3934/dcdss.2018001 |
ISSN: | 1937-1632 |
Appears in Collections: | CIDMA - Artigos SCG - Artigos |
Files in This Item:
File | Description | Size | Format | |
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14652.pdf | Documento principal | 412.76 kB | Adobe PDF |
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