Publication
Constrained fractional variational problems of variable order
| dc.contributor.author | Tavares, Dina | |
| dc.contributor.author | Almeida, Ricardo | |
| dc.contributor.author | Torres, Delfim F. M. | |
| dc.date.accessioned | 2018-06-28T10:36:20Z | |
| dc.date.available | 2018-06-28T10:36:20Z | |
| dc.date.issued | 2016-06-24 | |
| dc.description.abstract | Isoperimetric problems consist in minimizing or maximizing a cost functional subject to an integral constraint. In this work, we present two fractional isoperimetric problems where the Lagrangian depends on a combined Caputo derivative of variable fractional order and we present a new variational problem subject to a holonomic constraint. We establish necessary optimality conditions in order to determine the minimizers of the fractional problems. The terminal point in the cost integral, as well the terminal state, are considered to be free, and we obtain corresponding natural boundary conditions. | pt_PT |
| dc.description.version | info:eu-repo/semantics/publishedVersion | pt_PT |
| dc.identifier.doi | 10.1109/JAS.2017.7510331 | pt_PT |
| dc.identifier.issn | 2329-9266 | |
| dc.identifier.uri | http://hdl.handle.net/10400.8/3311 | |
| dc.language.iso | eng | pt_PT |
| dc.peerreviewed | yes | pt_PT |
| dc.publisher | Institute of Electrical and Electronics Engineers | pt_PT |
| dc.relation.publisherversion | https://doi.org/10.1109/JAS.2017.7510331 | pt_PT |
| dc.subject | Fractional calculus | pt_PT |
| dc.subject | Isoperimetric constraints | pt_PT |
| dc.subject | Holonomic constraints | pt_PT |
| dc.subject | Variable fractional order | pt_PT |
| dc.subject | Fractional calculus of variations | pt_PT |
| dc.title | Constrained fractional variational problems of variable order | pt_PT |
| dc.type | journal article | |
| dspace.entity.type | Publication | |
| oaire.citation.endPage | 88 | pt_PT |
| oaire.citation.issue | 1 | pt_PT |
| oaire.citation.startPage | 80 | pt_PT |
| oaire.citation.title | IEEE Caa Journal of Automatica Sinica | pt_PT |
| oaire.citation.volume | 4 | pt_PT |
| person.familyName | Tavares | |
| person.givenName | Dina | |
| person.identifier.ciencia-id | E017-F6C3-562F | |
| person.identifier.orcid | 0000-0002-4938-0855 | |
| person.identifier.scopus-author-id | 56519530700 | |
| rcaap.rights | restrictedAccess | pt_PT |
| rcaap.type | article | pt_PT |
| relation.isAuthorOfPublication | e6ef797b-2ad4-446d-961d-239c53f9ea37 | |
| relation.isAuthorOfPublication.latestForDiscovery | e6ef797b-2ad4-446d-961d-239c53f9ea37 |
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