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/10773/39387
Resumo: In this short paper, we obtain the eigenfunctions of the uniformly distributed-order wave equation in $\BR^n \times \BR^+$, 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 dimensionsTime-fractional wave equationDistributed orderHilfer fractional derivativeLaplace transformFourier transformMellin transformMittag-Leffler functionFox H-functionFractional momentsTauberian TheoremIn this short paper, we obtain the eigenfunctions of the uniformly distributed-order wave equation in $\BR^n \times \BR^+$, 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 Physics (AIP)2023-09-012023-09-01T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10773/39387eng0094-243X10.1063/5.0162287Vieira, 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:RCAAP2024-02-22T12:16:59Zoai:ria.ua.pt:10773/39387Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-20T03:09:36.184564Repositório 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.
Time-fractional wave equation
Distributed order
Hilfer fractional derivative
Laplace transform
Fourier transform
Mellin transform
Mittag-Leffler function
Fox H-function
Fractional moments
Tauberian Theorem
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.author.fl_str_mv Vieira, N.
Rodrigues, M. M.
Ferreira, M.
dc.subject.por.fl_str_mv Time-fractional wave equation
Distributed order
Hilfer fractional derivative
Laplace transform
Fourier transform
Mellin transform
Mittag-Leffler function
Fox H-function
Fractional moments
Tauberian Theorem
topic Time-fractional wave equation
Distributed order
Hilfer fractional derivative
Laplace transform
Fourier transform
Mellin transform
Mittag-Leffler function
Fox H-function
Fractional moments
Tauberian Theorem
description In this short paper, we obtain the eigenfunctions of the uniformly distributed-order wave equation in $\BR^n \times \BR^+$, 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 2023-09-01
2023-09-01T00:00:00Z
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/10773/39387
url http://hdl.handle.net/10773/39387
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 0094-243X
10.1063/5.0162287
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
_version_ 1799137746422333440

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