General quantum variational calculus

Detalhes bibliográficos
Autor(a) principal: Brito da Cruz, A.M.C.
Data de Publicação: 2018
Outros Autores: Martins, Natália
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: http://hdl.handle.net/10773/24187
Resumo: We develop a new variational calculus based in the general quantum difference operator recently introduced by Hamza et al. In particular, we obtain optimality conditions for generalized variational problems where the Lagrangian may depend on the endpoints conditions and a real parameter, for the basic and isoperimetric problems, with and without fixed boundary conditions. Our results provide a generalization to previous results obtained for the q- and Hahn-calculus
id RCAP_fb1e0ba9076c3d4fb82c67703f2fc652
oai_identifier_str oai:ria.ua.pt:10773/24187
network_acronym_str RCAP
network_name_str Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
repository_id_str 7160
spelling General quantum variational calculusGeneral quantum calculusHahn’s difference operatorJackson’s integralQuantum calculusCalculus of variationsEuler–Lagrange equationGeneralized natural boundary conditionsIsoperimetric problem.We develop a new variational calculus based in the general quantum difference operator recently introduced by Hamza et al. In particular, we obtain optimality conditions for generalized variational problems where the Lagrangian may depend on the endpoints conditions and a real parameter, for the basic and isoperimetric problems, with and without fixed boundary conditions. Our results provide a generalization to previous results obtained for the q- and Hahn-calculusInternational Academic Press2018-10-02T11:02:05Z2018-03-01T00:00:00Z2018-03info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10773/24187eng2311-004X10.19139/soic.v6i1.467Brito da Cruz, A.M.C.Martins, Natáliainfo: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:RCAAP2024-02-22T11:47:31Zoai:ria.ua.pt:10773/24187Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-20T02:57:56.757228Repositório 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 General quantum variational calculus
title General quantum variational calculus
spellingShingle General quantum variational calculus
Brito da Cruz, A.M.C.
General quantum calculus
Hahn’s difference operator
Jackson’s integral
Quantum calculus
Calculus of variations
Euler–Lagrange equation
Generalized natural boundary conditions
Isoperimetric problem.
title_short General quantum variational calculus
title_full General quantum variational calculus
title_fullStr General quantum variational calculus
title_full_unstemmed General quantum variational calculus
title_sort General quantum variational calculus
author Brito da Cruz, A.M.C.
author_facet Brito da Cruz, A.M.C.
Martins, Natália
author_role author
author2 Martins, Natália
author2_role author
dc.contributor.author.fl_str_mv Brito da Cruz, A.M.C.
Martins, Natália
dc.subject.por.fl_str_mv General quantum calculus
Hahn’s difference operator
Jackson’s integral
Quantum calculus
Calculus of variations
Euler–Lagrange equation
Generalized natural boundary conditions
Isoperimetric problem.
topic General quantum calculus
Hahn’s difference operator
Jackson’s integral
Quantum calculus
Calculus of variations
Euler–Lagrange equation
Generalized natural boundary conditions
Isoperimetric problem.
description We develop a new variational calculus based in the general quantum difference operator recently introduced by Hamza et al. In particular, we obtain optimality conditions for generalized variational problems where the Lagrangian may depend on the endpoints conditions and a real parameter, for the basic and isoperimetric problems, with and without fixed boundary conditions. Our results provide a generalization to previous results obtained for the q- and Hahn-calculus
publishDate 2018
dc.date.none.fl_str_mv 2018-10-02T11:02:05Z
2018-03-01T00:00:00Z
2018-03
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/10773/24187
url http://hdl.handle.net/10773/24187
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 2311-004X
10.19139/soic.v6i1.467
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 International Academic Press
publisher.none.fl_str_mv International Academic Press
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_ 1799137633872379904

Registros relacionados