On a fractional Sturm-Liouville problem in higher dimensions

Detalhes bibliográficos
Autor(a) principal: Vieira, N.
Data de Publicação: 2023
Outros Autores: Rodrigues, M. M., Ferreira, 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/10773/39388
Resumo: In this short paper, we consider an $n$-dimensional fractional Sturm-Liouville eigenvalue problem, by using fractional versions of the gradient operator involving left Caputo and right Riemann-Liouville fractional derivatives. We study the main properties of the eigenfunctions and the eigenvalues of the associated fractional boundary problem.
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spelling On a fractional Sturm-Liouville problem in higher dimensionsFractional derivativesractional Sturm-Liouville problemFractional variational calculusEigenvalue problemEigenfunctionsFractional Clifford analysisIn this short paper, we consider an $n$-dimensional fractional Sturm-Liouville eigenvalue problem, by using fractional versions of the gradient operator involving left Caputo and right Riemann-Liouville fractional derivatives. We study the main properties of the eigenfunctions and the eigenvalues of the associated fractional boundary problem.American Institute of Physics (AIP)2023-09-13T16:52:52Z2023-09-01T00:00:00Z2023-09-01info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10773/39388eng0094-243X10.1063/5.0163478Vieira, N.Rodrigues, M. M.Ferreira, 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:RCAAP2024-05-06T04:49:38Zoai:ria.ua.pt:10773/39388Portal AgregadorONGhttps://www.rcaap.pt/oai/openairemluisa.alvim@gmail.comopendoar:71602024-05-06T04:49:38Repositório 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 On a fractional Sturm-Liouville problem in higher dimensions
title On a fractional Sturm-Liouville problem in higher dimensions
spellingShingle On a fractional Sturm-Liouville problem in higher dimensions
Vieira, N.
Fractional derivatives
ractional Sturm-Liouville problem
Fractional variational calculus
Eigenvalue problem
Eigenfunctions
Fractional Clifford analysis
title_short On a fractional Sturm-Liouville problem in higher dimensions
title_full On a fractional Sturm-Liouville problem in higher dimensions
title_fullStr On a fractional Sturm-Liouville problem in higher dimensions
title_full_unstemmed On a fractional Sturm-Liouville problem in higher dimensions
title_sort On a fractional Sturm-Liouville problem in higher dimensions
author Vieira, N.
author_facet Vieira, N.
Rodrigues, M. M.
Ferreira, M.
author_role author
author2 Rodrigues, M. M.
Ferreira, M.
author2_role author
author
dc.contributor.author.fl_str_mv Vieira, N.
Rodrigues, M. M.
Ferreira, M.
dc.subject.por.fl_str_mv Fractional derivatives
ractional Sturm-Liouville problem
Fractional variational calculus
Eigenvalue problem
Eigenfunctions
Fractional Clifford analysis
topic Fractional derivatives
ractional Sturm-Liouville problem
Fractional variational calculus
Eigenvalue problem
Eigenfunctions
Fractional Clifford analysis
description In this short paper, we consider an $n$-dimensional fractional Sturm-Liouville eigenvalue problem, by using fractional versions of the gradient operator involving left Caputo and right Riemann-Liouville fractional derivatives. We study the main properties of the eigenfunctions and the eigenvalues of the associated fractional boundary problem.
publishDate 2023
dc.date.none.fl_str_mv 2023-09-13T16:52:52Z
2023-09-01T00:00:00Z
2023-09-01
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/10773/39388
url http://hdl.handle.net/10773/39388
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 0094-243X
10.1063/5.0163478
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 American Institute of Physics (AIP)
publisher.none.fl_str_mv American Institute of Physics (AIP)
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 mluisa.alvim@gmail.com
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