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http://hdl.handle.net/10773/18545
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DC Field | Value | Language |
---|---|---|
dc.contributor.author | Almeida, Ricardo | pt |
dc.date.accessioned | 2017-10-16T13:24:19Z | - |
dc.date.issued | 2018 | - |
dc.identifier.issn | 1937-1632 | pt |
dc.identifier.uri | http://hdl.handle.net/10773/18545 | - |
dc.description.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. | pt |
dc.language.iso | eng | pt |
dc.publisher | American Institute of Mathematical Sciences | pt |
dc.relation | info:eu-repo/grantAgreement/FCT/5876/147206/PT | pt |
dc.rights | restrictedAccess | por |
dc.subject | Fractional calculus | pt |
dc.subject | Euler–Lagrange equation | pt |
dc.subject | Legendre condition | pt |
dc.subject | Isoperimetric problem | pt |
dc.title | Optimality conditions for fractional variational problems with free terminal time | pt |
dc.type | article | pt |
dc.peerreviewed | yes | pt |
ua.distribution | international | pt |
degois.publication.firstPage | 143 | pt |
degois.publication.issue | 1 | pt |
degois.publication.lastPage | 154 | pt |
degois.publication.title | Discrete and Continuous Dynamical Systems - Series S | pt |
degois.publication.volume | 11 | pt |
dc.date.embargo | 10000-01-01 | - |
dc.identifier.doi | 10.3934/dcdss.2018001 | pt |
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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