A new fractional operator of variable order: application in the description of anomalous diffusion

Detalhes bibliográficos
Autor(a) principal: Yang, Xiao-Jun
Data de Publicação: 2017
Outros Autores: Tenreiro Machado, J. A.
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: http://hdl.handle.net/10400.22/23815
Resumo: In this paper, a new fractional operator of variable order with the use of the monotonic increasing function is proposed in sense of Caputo type. The properties in term of the Laplace and Fourier transforms are analyzed and the results for the anomalous diffusion equations of variable order are discussed. The new formulation is efficient in modeling a class of concentrations in the complex transport process.
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spelling A new fractional operator of variable order: application in the description of anomalous diffusionFractional derivative of variable-orderLaplace transformFourier transformAnomalous diffusionIn this paper, a new fractional operator of variable order with the use of the monotonic increasing function is proposed in sense of Caputo type. The properties in term of the Laplace and Fourier transforms are analyzed and the results for the anomalous diffusion equations of variable order are discussed. The new formulation is efficient in modeling a class of concentrations in the complex transport process.ElsevierRepositório Científico do Instituto Politécnico do PortoYang, Xiao-JunTenreiro Machado, J. A.20172035-01-01T00:00:00Z2017-01-01T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10400.22/23815eng10.1016/j.physa.2017.04.054metadata 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:RCAAP2023-11-08T01:46:31Zoai:recipp.ipp.pt:10400.22/23815Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-19T21:26:54.367017Repositório 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 operator of variable order: application in the description of anomalous diffusion
title A new fractional operator of variable order: application in the description of anomalous diffusion
spellingShingle A new fractional operator of variable order: application in the description of anomalous diffusion
Yang, Xiao-Jun
Fractional derivative of variable-order
Laplace transform
Fourier transform
Anomalous diffusion
title_short A new fractional operator of variable order: application in the description of anomalous diffusion
title_full A new fractional operator of variable order: application in the description of anomalous diffusion
title_fullStr A new fractional operator of variable order: application in the description of anomalous diffusion
title_full_unstemmed A new fractional operator of variable order: application in the description of anomalous diffusion
title_sort A new fractional operator of variable order: application in the description of anomalous diffusion
author Yang, Xiao-Jun
author_facet Yang, Xiao-Jun
Tenreiro Machado, J. A.
author_role author
author2 Tenreiro Machado, J. A.
author2_role author
dc.contributor.none.fl_str_mv Repositório Científico do Instituto Politécnico do Porto
dc.contributor.author.fl_str_mv Yang, Xiao-Jun
Tenreiro Machado, J. A.
dc.subject.por.fl_str_mv Fractional derivative of variable-order
Laplace transform
Fourier transform
Anomalous diffusion
topic Fractional derivative of variable-order
Laplace transform
Fourier transform
Anomalous diffusion
description In this paper, a new fractional operator of variable order with the use of the monotonic increasing function is proposed in sense of Caputo type. The properties in term of the Laplace and Fourier transforms are analyzed and the results for the anomalous diffusion equations of variable order are discussed. The new formulation is efficient in modeling a class of concentrations in the complex transport process.
publishDate 2017
dc.date.none.fl_str_mv 2017
2017-01-01T00:00:00Z
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/10400.22/23815
url http://hdl.handle.net/10400.22/23815
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 10.1016/j.physa.2017.04.054
dc.rights.driver.fl_str_mv metadata only access
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rights_invalid_str_mv metadata only access
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv Elsevier
publisher.none.fl_str_mv Elsevier
dc.source.none.fl_str_mv reponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
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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
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