A new fractional derivative involving the normalized sinc function without singular kernel
Autor(a) principal: | |
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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/10400.22/23816 |
Resumo: | In this paper, a new fractional derivative involving the normalized sinc function without singular kernel is proposed. The Laplace transform is used to find the analytical solution of the anomalous heat-diffusion problems. The comparative results between classical and fractional-order operators are presented. The results are significant in the analysis of one-dimensional anomalous heat-transfer problems. |
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Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) |
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7160 |
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A new fractional derivative involving the normalized sinc function without singular kernelFractional derivativeSingular kernelIn this paper, a new fractional derivative involving the normalized sinc function without singular kernel is proposed. The Laplace transform is used to find the analytical solution of the anomalous heat-diffusion problems. The comparative results between classical and fractional-order operators are presented. The results are significant in the analysis of one-dimensional anomalous heat-transfer problems.Repositório Científico do Instituto Politécnico do PortoYang, Xiao-JunGao, FengTenreiro Machado, J. A.Baleanu, Dumitru20182035-01-01T00:00:00Z2018-01-01T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10400.22/23816eng10.1140/epjst/e2018-00020-2metadata only accessinfo: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:RCAAP2023-11-08T01:46:32Zoai:recipp.ipp.pt:10400.22/23816Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-19T21:26:54.417010Repositório 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 |
A new fractional derivative involving the normalized sinc function without singular kernel |
title |
A new fractional derivative involving the normalized sinc function without singular kernel |
spellingShingle |
A new fractional derivative involving the normalized sinc function without singular kernel Yang, Xiao-Jun Fractional derivative Singular kernel |
title_short |
A new fractional derivative involving the normalized sinc function without singular kernel |
title_full |
A new fractional derivative involving the normalized sinc function without singular kernel |
title_fullStr |
A new fractional derivative involving the normalized sinc function without singular kernel |
title_full_unstemmed |
A new fractional derivative involving the normalized sinc function without singular kernel |
title_sort |
A new fractional derivative involving the normalized sinc function without singular kernel |
author |
Yang, Xiao-Jun |
author_facet |
Yang, Xiao-Jun Gao, Feng Tenreiro Machado, J. A. Baleanu, Dumitru |
author_role |
author |
author2 |
Gao, Feng Tenreiro Machado, J. A. Baleanu, Dumitru |
author2_role |
author author author |
dc.contributor.none.fl_str_mv |
Repositório Científico do Instituto Politécnico do Porto |
dc.contributor.author.fl_str_mv |
Yang, Xiao-Jun Gao, Feng Tenreiro Machado, J. A. Baleanu, Dumitru |
dc.subject.por.fl_str_mv |
Fractional derivative Singular kernel |
topic |
Fractional derivative Singular kernel |
description |
In this paper, a new fractional derivative involving the normalized sinc function without singular kernel is proposed. The Laplace transform is used to find the analytical solution of the anomalous heat-diffusion problems. The comparative results between classical and fractional-order operators are presented. The results are significant in the analysis of one-dimensional anomalous heat-transfer problems. |
publishDate |
2018 |
dc.date.none.fl_str_mv |
2018 2018-01-01T00:00:00Z 2035-01-01T00:00:00Z |
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/10400.22/23816 |
url |
http://hdl.handle.net/10400.22/23816 |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
10.1140/epjst/e2018-00020-2 |
dc.rights.driver.fl_str_mv |
metadata only access info:eu-repo/semantics/openAccess |
rights_invalid_str_mv |
metadata only access |
eu_rights_str_mv |
openAccess |
dc.format.none.fl_str_mv |
application/pdf |
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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1799134150994690048 |