Fundamental solution of the time-fractional telegraph Dirac operator

Detalhes bibliográficos
Autor(a) principal: Ferreira, Milton
Data de Publicação: 2017
Outros Autores: Rodrigues, M. Manuela, Vieira, Nelson
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: http://hdl.handle.net/10400.8/7509
Resumo: n this work, we obtain the fundamental solution (FS) of the multidimensionaltime-fractional telegraph Dirac operator where the 2 time-fractional derivatives oforders∈]0,1]and∈]1,2]are in the Caputo sense. Explicit integral and seriesrepresentation of the FS are obtained for any dimension. We present and discusssome plots of the FS for some particular values of the dimension and of the frac-tional parametersand. Finally, using the FS, we study some Poisson and Cauchyproblems
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spelling Fundamental solution of the time-fractional telegraph Dirac operatorTime-fractional telegraph and telegraph Dirac operatorsFundamental solutionCaputo fractional derivativeMultivariate Mittag-Leffler functionH-function of two variablesn this work, we obtain the fundamental solution (FS) of the multidimensionaltime-fractional telegraph Dirac operator where the 2 time-fractional derivatives oforders∈]0,1]and∈]1,2]are in the Caputo sense. Explicit integral and seriesrepresentation of the FS are obtained for any dimension. We present and discusssome plots of the FS for some particular values of the dimension and of the frac-tional parametersand. Finally, using the FS, we study some Poisson and CauchyproblemsWileyIC-OnlineFerreira, MiltonRodrigues, M. ManuelaVieira, Nelson2022-08-05T12:46:58Z2017-092017-09-01T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10400.8/7509engFerreira M, Rodrigues MM, Vieira N. Fundamental solution of the time-fractional telegraphDirac operator.Math Meth Appl Sci. 2017;40:7033–7050.https://doi.org/10.1002/mma.451110.1002/mma.45111099-1476info: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:RCAAP2024-01-17T15:46:47Zoai:iconline.ipleiria.pt:10400.8/7509Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-20T01:47:24.590716Repositório 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 Fundamental solution of the time-fractional telegraph Dirac operator
title Fundamental solution of the time-fractional telegraph Dirac operator
spellingShingle Fundamental solution of the time-fractional telegraph Dirac operator
Ferreira, Milton
Time-fractional telegraph and telegraph Dirac operators
Fundamental solution
Caputo fractional derivative
Multivariate Mittag-Leffler function
H-function of two variables
title_short Fundamental solution of the time-fractional telegraph Dirac operator
title_full Fundamental solution of the time-fractional telegraph Dirac operator
title_fullStr Fundamental solution of the time-fractional telegraph Dirac operator
title_full_unstemmed Fundamental solution of the time-fractional telegraph Dirac operator
title_sort Fundamental solution of the time-fractional telegraph Dirac operator
author Ferreira, Milton
author_facet Ferreira, Milton
Rodrigues, M. Manuela
Vieira, Nelson
author_role author
author2 Rodrigues, M. Manuela
Vieira, Nelson
author2_role author
author
dc.contributor.none.fl_str_mv IC-Online
dc.contributor.author.fl_str_mv Ferreira, Milton
Rodrigues, M. Manuela
Vieira, Nelson
dc.subject.por.fl_str_mv Time-fractional telegraph and telegraph Dirac operators
Fundamental solution
Caputo fractional derivative
Multivariate Mittag-Leffler function
H-function of two variables
topic Time-fractional telegraph and telegraph Dirac operators
Fundamental solution
Caputo fractional derivative
Multivariate Mittag-Leffler function
H-function of two variables
description n this work, we obtain the fundamental solution (FS) of the multidimensionaltime-fractional telegraph Dirac operator where the 2 time-fractional derivatives oforders∈]0,1]and∈]1,2]are in the Caputo sense. Explicit integral and seriesrepresentation of the FS are obtained for any dimension. We present and discusssome plots of the FS for some particular values of the dimension and of the frac-tional parametersand. Finally, using the FS, we study some Poisson and Cauchyproblems
publishDate 2017
dc.date.none.fl_str_mv 2017-09
2017-09-01T00:00:00Z
2022-08-05T12:46:58Z
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/10400.8/7509
url http://hdl.handle.net/10400.8/7509
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv Ferreira M, Rodrigues MM, Vieira N. Fundamental solution of the time-fractional telegraphDirac operator.Math Meth Appl Sci. 2017;40:7033–7050.https://doi.org/10.1002/mma.4511
10.1002/mma.4511
1099-1476
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 Wiley
publisher.none.fl_str_mv Wiley
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
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