Generalized fractional operators for nonstandard Lagrangians

Detalhes bibliográficos
Autor(a) principal: Taverna, Giorgio S.
Data de Publicação: 2015
Outros Autores: 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/10773/15035
Resumo: In this note, we study the application of generalized fractional operators to a particular class of nonstandard Lagrangians. These are typical of dissipative systems, and the corresponding Euler-Lagrange and Hamilton equations are analyzed. The dependence of the equation of motion on the generalized kernel permits to obtain a wide range of different configurations of motion. Some examples are discussed and analyzed.Copyright (c) 2014 John Wiley & Sons, Ltd.
id RCAP_b9419200c9859418d3eebe047eb9f751
oai_identifier_str oai:ria.ua.pt:10773/15035
network_acronym_str RCAP
network_name_str Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
repository_id_str 7160
spelling Generalized fractional operators for nonstandard LagrangiansGeneralized fractional operatorsGeneralized fractional calculus of variationsNonstandard LagrangiansDissipative systemsEuler–Lagrange and Hamilton equationsIn this note, we study the application of generalized fractional operators to a particular class of nonstandard Lagrangians. These are typical of dissipative systems, and the corresponding Euler-Lagrange and Hamilton equations are analyzed. The dependence of the equation of motion on the generalized kernel permits to obtain a wide range of different configurations of motion. Some examples are discussed and analyzed.Copyright (c) 2014 John Wiley & Sons, Ltd.Wiley2018-07-20T14:00:51Z2015-06-01T00:00:00Z2015-062016-05-31T13:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10773/15035eng0170-421410.1002/mma.3188Taverna, Giorgio S.Torres, Delfim F. M.info: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:RCAAP2024-02-22T11:27:45Zoai:ria.ua.pt:10773/15035Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-20T02:50:29.491523Repositório 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 Generalized fractional operators for nonstandard Lagrangians
title Generalized fractional operators for nonstandard Lagrangians
spellingShingle Generalized fractional operators for nonstandard Lagrangians
Taverna, Giorgio S.
Generalized fractional operators
Generalized fractional calculus of variations
Nonstandard Lagrangians
Dissipative systems
Euler–Lagrange and Hamilton equations
title_short Generalized fractional operators for nonstandard Lagrangians
title_full Generalized fractional operators for nonstandard Lagrangians
title_fullStr Generalized fractional operators for nonstandard Lagrangians
title_full_unstemmed Generalized fractional operators for nonstandard Lagrangians
title_sort Generalized fractional operators for nonstandard Lagrangians
author Taverna, Giorgio S.
author_facet Taverna, Giorgio S.
Torres, Delfim F. M.
author_role author
author2 Torres, Delfim F. M.
author2_role author
dc.contributor.author.fl_str_mv Taverna, Giorgio S.
Torres, Delfim F. M.
dc.subject.por.fl_str_mv Generalized fractional operators
Generalized fractional calculus of variations
Nonstandard Lagrangians
Dissipative systems
Euler–Lagrange and Hamilton equations
topic Generalized fractional operators
Generalized fractional calculus of variations
Nonstandard Lagrangians
Dissipative systems
Euler–Lagrange and Hamilton equations
description In this note, we study the application of generalized fractional operators to a particular class of nonstandard Lagrangians. These are typical of dissipative systems, and the corresponding Euler-Lagrange and Hamilton equations are analyzed. The dependence of the equation of motion on the generalized kernel permits to obtain a wide range of different configurations of motion. Some examples are discussed and analyzed.Copyright (c) 2014 John Wiley & Sons, Ltd.
publishDate 2015
dc.date.none.fl_str_mv 2015-06-01T00:00:00Z
2015-06
2016-05-31T13:00:00Z
2018-07-20T14:00:51Z
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/10773/15035
url http://hdl.handle.net/10773/15035
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 0170-4214
10.1002/mma.3188
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 Wiley
publisher.none.fl_str_mv Wiley
dc.source.none.fl_str_mv reponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
instacron:RCAAP
instname_str Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
instacron_str RCAAP
institution RCAAP
reponame_str Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
collection Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
repository.name.fl_str_mv Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
repository.mail.fl_str_mv
_version_ 1799137555106496512

Registros relacionados