First and second fundamental solutions of the time-fractional telegraph equation with Laplace or Dirac operators
Autor(a) principal: | |
---|---|
Data de Publicação: | 2018 |
Outros Autores: | , |
Tipo de documento: | Artigo |
Idioma: | eng |
Título da fonte: | Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) |
Texto Completo: | http://hdl.handle.net/10400.8/3257 |
Resumo: | Acknowledgement: The authors were supported by Portuguese funds through the CIDMA - Center for Research and Development in Mathematics and Applications, and the Portuguese Foundation for Science and Technology (“FCT–Funda¸cˆao para a Ciˆencia e a Tecnologia”), within project UID/MAT/ 0416/2013. N. Vieira is Auxiliar Researcher, under the FCT Researcher Program 2014 (Ref: IF/00271/2014). |
id |
RCAP_e48a3459a4a3581088217781dbbf3633 |
---|---|
oai_identifier_str |
oai:iconline.ipleiria.pt:10400.8/3257 |
network_acronym_str |
RCAP |
network_name_str |
Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) |
repository_id_str |
7160 |
spelling |
First and second fundamental solutions of the time-fractional telegraph equation with Laplace or Dirac operatorsTime-fractional telegraph equationTime-fractional telegraph Dirac operatorFirst and second fundamental solutionsCaputo fractional derivativeMultivariate Mittag-Leffler functionH-function of two variablesAcknowledgement: The authors were supported by Portuguese funds through the CIDMA - Center for Research and Development in Mathematics and Applications, and the Portuguese Foundation for Science and Technology (“FCT–Funda¸cˆao para a Ciˆencia e a Tecnologia”), within project UID/MAT/ 0416/2013. N. Vieira is Auxiliar Researcher, under the FCT Researcher Program 2014 (Ref: IF/00271/2014).In this work we obtain the first and second fundamental solutions (FS) of the multidimensional time-fractional equation with Laplace or Dirac operators, where the two time-fractional derivatives of orders α ∈]0, 1] and β ∈]1, 2] are in the Caputo sense. We obtain representations of the FS in terms of Hankel transform, double Mellin- Barnes integrals, and H-functions of two variables. As an application, the FS are used to solve Cauchy problems of Laplace and Dirac type.Springer International Publishing AG. Part of Springer NatureIC-OnlineFerreira, MiltonRodrigues, Manuela M.Vieira, Nelson2019-05-15T00:30:12Z2018-052018-05-01T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10400.8/3257engFerreira M., Rodrigues M.M., and Vieira N. (2018). First and second fundamental solutions of the time-fractional telegraph equation with Laplace or Dirac operators, Adv. Appl. Clifford Algebras, 28(2), Article No.42 - pp. 1-14.0188-7009DOI 10.1007/s00006-018-0858-7info: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:10400.8/3257Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-20T01:47:24.544533Repositório 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 |
First and second fundamental solutions of the time-fractional telegraph equation with Laplace or Dirac operators |
title |
First and second fundamental solutions of the time-fractional telegraph equation with Laplace or Dirac operators |
spellingShingle |
First and second fundamental solutions of the time-fractional telegraph equation with Laplace or Dirac operators Ferreira, Milton Time-fractional telegraph equation Time-fractional telegraph Dirac operator First and second fundamental solutions Caputo fractional derivative Multivariate Mittag-Leffler function H-function of two variables |
title_short |
First and second fundamental solutions of the time-fractional telegraph equation with Laplace or Dirac operators |
title_full |
First and second fundamental solutions of the time-fractional telegraph equation with Laplace or Dirac operators |
title_fullStr |
First and second fundamental solutions of the time-fractional telegraph equation with Laplace or Dirac operators |
title_full_unstemmed |
First and second fundamental solutions of the time-fractional telegraph equation with Laplace or Dirac operators |
title_sort |
First and second fundamental solutions of the time-fractional telegraph equation with Laplace or Dirac operators |
author |
Ferreira, Milton |
author_facet |
Ferreira, Milton Rodrigues, Manuela M. Vieira, Nelson |
author_role |
author |
author2 |
Rodrigues, Manuela M. Vieira, Nelson |
author2_role |
author author |
dc.contributor.none.fl_str_mv |
IC-Online |
dc.contributor.author.fl_str_mv |
Ferreira, Milton Rodrigues, Manuela M. Vieira, Nelson |
dc.subject.por.fl_str_mv |
Time-fractional telegraph equation Time-fractional telegraph Dirac operator First and second fundamental solutions Caputo fractional derivative Multivariate Mittag-Leffler function H-function of two variables |
topic |
Time-fractional telegraph equation Time-fractional telegraph Dirac operator First and second fundamental solutions Caputo fractional derivative Multivariate Mittag-Leffler function H-function of two variables |
description |
Acknowledgement: The authors were supported by Portuguese funds through the CIDMA - Center for Research and Development in Mathematics and Applications, and the Portuguese Foundation for Science and Technology (“FCT–Funda¸cˆao para a Ciˆencia e a Tecnologia”), within project UID/MAT/ 0416/2013. N. Vieira is Auxiliar Researcher, under the FCT Researcher Program 2014 (Ref: IF/00271/2014). |
publishDate |
2018 |
dc.date.none.fl_str_mv |
2018-05 2018-05-01T00:00:00Z 2019-05-15T00:30:12Z |
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/10400.8/3257 |
url |
http://hdl.handle.net/10400.8/3257 |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
Ferreira M., Rodrigues M.M., and Vieira N. (2018). First and second fundamental solutions of the time-fractional telegraph equation with Laplace or Dirac operators, Adv. Appl. Clifford Algebras, 28(2), Article No.42 - pp. 1-14. 0188-7009 DOI 10.1007/s00006-018-0858-7 |
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 |
Springer International Publishing AG. Part of Springer Nature |
publisher.none.fl_str_mv |
Springer International Publishing AG. Part of Springer Nature |
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_ |
1799136968155594752 |