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Constrained fractional variational problems of variable order

Bibliographic Details
Main Author: Tavares, Dina
Publication Date: 2017
Other Authors: Almeida, Ricardo, Torres, Delfim F. M.
Format: Article
Language: eng
Source: Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)
Download full: http://hdl.handle.net/10773/16675
Summary: 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.
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spelling Constrained fractional variational problems of variable orderIsoperimetric constraintsHolonomic constraintsOptimizationFractional calculusVariable fractional orderFractional calculus of variationsIsoperimetric 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.IEEE2017-01-20T12:19:59Z2017-01-16T00:00:00Z2017-01-16info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10773/16675eng2329-926610.1109/JAS.2017.7510331Tavares, DinaAlmeida, RicardoTorres, Delfim F. M.info:eu-repo/semantics/openAccessreponame:Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)instname:FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologiainstacron:RCAAP2024-05-06T03:59:17Zoai:ria.ua.pt:10773/16675Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireinfo@rcaap.ptopendoar:https://opendoar.ac.uk/repository/71602025-05-28T13:53:34.329845Repositórios Científicos de Acesso Aberto de Portugal (RCAAP) - FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologiafalse
dc.title.none.fl_str_mv Constrained fractional variational problems of variable order
title Constrained fractional variational problems of variable order
spellingShingle Constrained fractional variational problems of variable order
Tavares, Dina
Isoperimetric constraints
Holonomic constraints
Optimization
Fractional calculus
Variable fractional order
Fractional calculus of variations
title_short Constrained fractional variational problems of variable order
title_full Constrained fractional variational problems of variable order
title_fullStr Constrained fractional variational problems of variable order
title_full_unstemmed Constrained fractional variational problems of variable order
title_sort Constrained fractional variational problems of variable order
author Tavares, Dina
author_facet Tavares, Dina
Almeida, Ricardo
Torres, Delfim F. M.
author_role author
author2 Almeida, Ricardo
Torres, Delfim F. M.
author2_role author
author
dc.contributor.author.fl_str_mv Tavares, Dina
Almeida, Ricardo
Torres, Delfim F. M.
dc.subject.por.fl_str_mv Isoperimetric constraints
Holonomic constraints
Optimization
Fractional calculus
Variable fractional order
Fractional calculus of variations
topic Isoperimetric constraints
Holonomic constraints
Optimization
Fractional calculus
Variable fractional order
Fractional calculus of variations
description 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.
publishDate 2017
dc.date.none.fl_str_mv 2017-01-20T12:19:59Z
2017-01-16T00:00:00Z
2017-01-16
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
format article
status_str publishedVersion
dc.identifier.uri.fl_str_mv http://hdl.handle.net/10773/16675
url http://hdl.handle.net/10773/16675
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 2329-9266
10.1109/JAS.2017.7510331
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv IEEE
publisher.none.fl_str_mv IEEE
dc.source.none.fl_str_mv reponame:Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)
instname:FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologia
instacron:RCAAP
instname_str FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologia
instacron_str RCAAP
institution RCAAP
reponame_str Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)
collection Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)
repository.name.fl_str_mv Repositórios Científicos de Acesso Aberto de Portugal (RCAAP) - FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologia
repository.mail.fl_str_mv info@rcaap.pt
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