Uniformly distributed-order wave equation 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/10400.8/8787
Resumo: In this short paper, we obtain the eigenfunctions of the uniformly distributed-order wave equation in Rn ×R+, as Laplace integral of Fox H-functions. For the particular case of the first fundamental solution, the fractional moment of second order of the fundamental solution is studied using the Tauberian Theorem.
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spelling Uniformly distributed-order wave equation in higher dimensionsIn this short paper, we obtain the eigenfunctions of the uniformly distributed-order wave equation in Rn ×R+, as Laplace integral of Fox H-functions. For the particular case of the first fundamental solution, the fractional moment of second order of the fundamental solution is studied using the Tauberian Theorem.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/10400.8/8787engN. Vieira, M. M. Rodrigues, M. Ferreira, Uniformly distributed-order wave equation in higher dimensions. International Conference of Numerical Analysis and Applied Mathematics 2021 (ICNAAM 2021), Rhodes, Greece, AIP Conference Proceedings 2849(1), 380002 (2023).380002https://doi.org/10.1063/5.01622871551-7616info: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:RCAAP2024-01-17T15:58:10Zoai:iconline.ipleiria.pt:10400.8/8787Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-20T01:51:26.345129Repositório 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 Uniformly distributed-order wave equation in higher dimensions
title Uniformly distributed-order wave equation in higher dimensions
spellingShingle Uniformly distributed-order wave equation in higher dimensions
Vieira, N.
title_short Uniformly distributed-order wave equation in higher dimensions
title_full Uniformly distributed-order wave equation in higher dimensions
title_fullStr Uniformly distributed-order wave equation in higher dimensions
title_full_unstemmed Uniformly distributed-order wave equation in higher dimensions
title_sort Uniformly distributed-order wave equation 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 obtain the eigenfunctions of the uniformly distributed-order wave equation in Rn ×R+, as Laplace integral of Fox H-functions. For the particular case of the first fundamental solution, the fractional moment of second order of the fundamental solution is studied using the Tauberian Theorem.
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/10400.8/8787
url http://hdl.handle.net/10400.8/8787
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv N. Vieira, M. M. Rodrigues, M. Ferreira, Uniformly distributed-order wave equation in higher dimensions. International Conference of Numerical Analysis and Applied Mathematics 2021 (ICNAAM 2021), Rhodes, Greece, AIP Conference Proceedings 2849(1), 380002 (2023).
380002
https://doi.org/10.1063/5.0162287
1551-7616
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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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instname_str Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
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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
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