Publication
Combined Fractional Variational Problems of Variable Order and Some Computational Aspects
| dc.contributor.author | Tavares, Dina | |
| dc.contributor.author | Almeida, Ricardo | |
| dc.contributor.author | Torres, Delfim F. M. | |
| dc.date.accessioned | 2018-06-28T10:31:10Z | |
| dc.date.available | 2018-06-28T10:31:10Z | |
| dc.date.issued | 2017-04-21 | |
| dc.description.abstract | We study two generalizations of fractional variational problems by considering higher-order derivatives and a state time delay. We prove a higher-order integration by parts formula involving a Caputo fractional derivative of variable order and we establish several necessary optimality conditions for functionals containing a combined Caputo derivative of variable fractional order. Because the endpoint is considered to be free, we also deduce associated transversality conditions. In the end, we consider functionals with a time delay and deduce corresponding optimality conditions. Some examples are given to illustrate the new results. Computational aspects are discussed using the open source software package Chebfun. | pt_PT |
| dc.description.version | info:eu-repo/semantics/publishedVersion | pt_PT |
| dc.identifier.doi | 10.1016/j.cam.2017.04.042 | pt_PT |
| dc.identifier.issn | 0377-0427 | |
| dc.identifier.uri | http://hdl.handle.net/10400.8/3309 | |
| dc.language.iso | eng | pt_PT |
| dc.peerreviewed | yes | pt_PT |
| dc.publisher | Elsevier | pt_PT |
| dc.relation.publisherversion | https://doi.org/10.1016/j.cam.2017.04.042 | pt_PT |
| dc.subject | Fractional calculus of variations | pt_PT |
| dc.subject | Variable fractional order | pt_PT |
| dc.subject | High-order derivatives | pt_PT |
| dc.subject | Time delay | pt_PT |
| dc.subject | Computational approximation | pt_PT |
| dc.title | Combined Fractional Variational Problems of Variable Order and Some Computational Aspects | pt_PT |
| dc.type | journal article | |
| dspace.entity.type | Publication | |
| oaire.citation.endPage | 388 | pt_PT |
| oaire.citation.startPage | 374 | pt_PT |
| oaire.citation.title | Journal of Computational and Applied Mathematics | pt_PT |
| oaire.citation.volume | 339 | 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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