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/10400.8/8788
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 dimensionsIn 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 PhysicsIC-OnlineVieira, N.Rodrigues, M. M.Ferreira, M.2023-092024-09-01T00:00:00Z2023-09-01T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10400.8/8788engN. Vieira, M. M. Rodrigues, M. Ferreira, On a fractional Sturm-Liouville problem in higher dimensions. International Conference of Numerical Analysis and Applied Mathematics 2021 (ICNAAM 2021), Rhodes, Greece, AIP Conference Proceedings 2849(1), 380003 (2023).380003https://doi.org/10.1063/5.01634781551-7616info:eu-repo/semantics/embargoedAccessreponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãoinstacron:RCAAP2024-01-17T15:58:11Zoai:iconline.ipleiria.pt:10400.8/8788Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-20T01:51:26.386499Repositório 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.
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.none.fl_str_mv IC-Online
dc.contributor.author.fl_str_mv Vieira, N.
Rodrigues, M. M.
Ferreira, M.
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
2023-09-01T00:00:00Z
2024-09-01T00:00:00Z
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/10400.8/8788
url http://hdl.handle.net/10400.8/8788
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv N. Vieira, M. M. Rodrigues, M. Ferreira, On a fractional Sturm-Liouville problem in higher dimensions. International Conference of Numerical Analysis and Applied Mathematics 2021 (ICNAAM 2021), Rhodes, Greece, AIP Conference Proceedings 2849(1), 380003 (2023).
380003
https://doi.org/10.1063/5.0163478
1551-7616
dc.rights.driver.fl_str_mv info:eu-repo/semantics/embargoedAccess
eu_rights_str_mv embargoedAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv American Institute of Physics
publisher.none.fl_str_mv American Institute of Physics
dc.source.none.fl_str_mv reponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
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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
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