Eigenfunctions of the time-fractional telegraph equation of distributed order

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/10773/39386
Resumo: In this work, the eigenfunction problem for the time-fractional telegraph operator of distributed order in $\BR^n \times \BR^+$ is considered. By employing the technique of the Fourier, Laplace and Mellin transforms, an integral representation of the eigenfunctions involving the Fox H-function is obtained.
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spelling Eigenfunctions of the time-fractional telegraph equation of distributed orderTime-fractional telegraph equationDistributed orderLaplaceFourier and Mellin transformsFox H-functionsFractional momentsTauberian theoremsIn this work, the eigenfunction problem for the time-fractional telegraph operator of distributed order in $\BR^n \times \BR^+$ is considered. By employing the technique of the Fourier, Laplace and Mellin transforms, an integral representation of the eigenfunctions involving the Fox H-function is obtained.American Institute of Physics (AIP)2023-09-012023-09-01T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10773/39386eng0094-243X10.1063/5.0162293Vieira, 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:10773/39386Portal 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 Eigenfunctions of the time-fractional telegraph equation of distributed order
title Eigenfunctions of the time-fractional telegraph equation of distributed order
spellingShingle Eigenfunctions of the time-fractional telegraph equation of distributed order
Vieira, N.
Time-fractional telegraph equation
Distributed order
Laplace
Fourier and Mellin transforms
Fox H-functions
Fractional moments
Tauberian theorems
title_short Eigenfunctions of the time-fractional telegraph equation of distributed order
title_full Eigenfunctions of the time-fractional telegraph equation of distributed order
title_fullStr Eigenfunctions of the time-fractional telegraph equation of distributed order
title_full_unstemmed Eigenfunctions of the time-fractional telegraph equation of distributed order
title_sort Eigenfunctions of the time-fractional telegraph equation of distributed order
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 telegraph equation
Distributed order
Laplace
Fourier and Mellin transforms
Fox H-functions
Fractional moments
Tauberian theorems
topic Time-fractional telegraph equation
Distributed order
Laplace
Fourier and Mellin transforms
Fox H-functions
Fractional moments
Tauberian theorems
description In this work, the eigenfunction problem for the time-fractional telegraph operator of distributed order in $\BR^n \times \BR^+$ is considered. By employing the technique of the Fourier, Laplace and Mellin transforms, an integral representation of the eigenfunctions involving the Fox H-function is obtained.
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/10773/39386
url http://hdl.handle.net/10773/39386
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 0094-243X
10.1063/5.0162293
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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