Fractional Herglotz variational problems of variable order

Detalhes bibliográficos
Autor(a) principal: Tavares, Dina
Data de Publicação: 2017
Outros Autores: Almeida, Ricardo, Torres, Delfim F. M.
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: http://hdl.handle.net/10400.8/3312
Resumo: We study fractional variational problems of Herglotz type of variable order. Necessary optimality conditions, described by fractional differential equations depending on a combined Caputo fractional derivative of variable order, are proved. Two different cases are considered: the fundamental problem, with one independent variable, and the general case, with several independent variables. We end with some illustrative examples of the results of the paper.
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spelling Fractional Herglotz variational problems of variable orderFractional calculusVariable orderHerglotz variational problemsWe study fractional variational problems of Herglotz type of variable order. Necessary optimality conditions, described by fractional differential equations depending on a combined Caputo fractional derivative of variable order, are proved. Two different cases are considered: the fundamental problem, with one independent variable, and the general case, with several independent variables. We end with some illustrative examples of the results of the paper.American Institute of Mathematical SciencesIC-OnlineTavares, DinaAlmeida, RicardoTorres, Delfim F. M.2018-06-28T10:36:43Z2017-03-272017-03-27T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10400.8/3312eng10.3934/dcdss.2018009metadata only accessinfo:eu-repo/semantics/openAccessreponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãoinstacron:RCAAP2024-01-17T15:46:55Zoai:iconline.ipleiria.pt:10400.8/3312Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-20T01:47:27.141361Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãofalse
dc.title.none.fl_str_mv Fractional Herglotz variational problems of variable order
title Fractional Herglotz variational problems of variable order
spellingShingle Fractional Herglotz variational problems of variable order
Tavares, Dina
Fractional calculus
Variable order
Herglotz variational problems
title_short Fractional Herglotz variational problems of variable order
title_full Fractional Herglotz variational problems of variable order
title_fullStr Fractional Herglotz variational problems of variable order
title_full_unstemmed Fractional Herglotz variational problems of variable order
title_sort Fractional Herglotz 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.none.fl_str_mv IC-Online
dc.contributor.author.fl_str_mv Tavares, Dina
Almeida, Ricardo
Torres, Delfim F. M.
dc.subject.por.fl_str_mv Fractional calculus
Variable order
Herglotz variational problems
topic Fractional calculus
Variable order
Herglotz variational problems
description We study fractional variational problems of Herglotz type of variable order. Necessary optimality conditions, described by fractional differential equations depending on a combined Caputo fractional derivative of variable order, are proved. Two different cases are considered: the fundamental problem, with one independent variable, and the general case, with several independent variables. We end with some illustrative examples of the results of the paper.
publishDate 2017
dc.date.none.fl_str_mv 2017-03-27
2017-03-27T00:00:00Z
2018-06-28T10:36:43Z
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
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status_str publishedVersion
dc.identifier.uri.fl_str_mv http://hdl.handle.net/10400.8/3312
url http://hdl.handle.net/10400.8/3312
dc.language.iso.fl_str_mv eng
language eng
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eu_rights_str_mv openAccess
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dc.publisher.none.fl_str_mv American Institute of Mathematical Sciences
publisher.none.fl_str_mv American Institute of Mathematical Sciences
dc.source.none.fl_str_mv reponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
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