A new fractional derivative involving the normalized sinc function without singular kernel

Detalhes bibliográficos
Autor(a) principal: Yang, Xiao-Jun
Data de Publicação: 2018
Outros Autores: Gao, Feng, Tenreiro Machado, J. A., Baleanu, Dumitru
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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spelling 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
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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
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eu_rights_str_mv openAccess
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dc.source.none.fl_str_mv reponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
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