Diffusion equations and different spatial fractional derivatives

Detalhes bibliográficos
Autor(a) principal: Duarte, Alexandre F. B.
Data de Publicação: 2014
Outros Autores: Pereira, Jessica de M. Gatti, Lenzi, Marcelo Kaminski, Gonçalves, Giane, Rossato, Roberto, Lenzi, Ervin Kaminski
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Acta scientiarum. Technology (Online)
Texto Completo: http://www.periodicos.uem.br/ojs/index.php/ActaSciTechnol/article/view/24413
Resumo: We investigate for the diffusion equation the differences manifested by the solutions when three different types of spatial differential operators of noninteger (or fractional) order are considered for a limited and unlimited region.  In all cases, we verify an anomalous spreading of the system, which can be connected to a rich class of anomalous diffusion processes. 
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spelling Diffusion equations and different spatial fractional derivativesdiffusion equationfractional derivativeanomalous diffusionWe investigate for the diffusion equation the differences manifested by the solutions when three different types of spatial differential operators of noninteger (or fractional) order are considered for a limited and unlimited region.  In all cases, we verify an anomalous spreading of the system, which can be connected to a rich class of anomalous diffusion processes. Universidade Estadual De Maringá2014-09-12info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionapplication/pdfhttp://www.periodicos.uem.br/ojs/index.php/ActaSciTechnol/article/view/2441310.4025/actascitechnol.v36i4.24413Acta Scientiarum. Technology; Vol 36 No 4 (2014); 657-662Acta Scientiarum. Technology; v. 36 n. 4 (2014); 657-6621806-25631807-8664reponame:Acta scientiarum. Technology (Online)instname:Universidade Estadual de Maringá (UEM)instacron:UEMenghttp://www.periodicos.uem.br/ojs/index.php/ActaSciTechnol/article/view/24413/pdf_38Duarte, Alexandre F. B.Pereira, Jessica de M. GattiLenzi, Marcelo KaminskiGonçalves, GianeRossato, RobertoLenzi, Ervin Kaminskiinfo:eu-repo/semantics/openAccess2014-12-08T14:06:37Zoai:periodicos.uem.br/ojs:article/24413Revistahttps://www.periodicos.uem.br/ojs/index.php/ActaSciTechnol/indexPUBhttps://www.periodicos.uem.br/ojs/index.php/ActaSciTechnol/oai||actatech@uem.br1807-86641806-2563opendoar:2014-12-08T14:06:37Acta scientiarum. Technology (Online) - Universidade Estadual de Maringá (UEM)false
dc.title.none.fl_str_mv Diffusion equations and different spatial fractional derivatives
title Diffusion equations and different spatial fractional derivatives
spellingShingle Diffusion equations and different spatial fractional derivatives
Duarte, Alexandre F. B.
diffusion equation
fractional derivative
anomalous diffusion
title_short Diffusion equations and different spatial fractional derivatives
title_full Diffusion equations and different spatial fractional derivatives
title_fullStr Diffusion equations and different spatial fractional derivatives
title_full_unstemmed Diffusion equations and different spatial fractional derivatives
title_sort Diffusion equations and different spatial fractional derivatives
author Duarte, Alexandre F. B.
author_facet Duarte, Alexandre F. B.
Pereira, Jessica de M. Gatti
Lenzi, Marcelo Kaminski
Gonçalves, Giane
Rossato, Roberto
Lenzi, Ervin Kaminski
author_role author
author2 Pereira, Jessica de M. Gatti
Lenzi, Marcelo Kaminski
Gonçalves, Giane
Rossato, Roberto
Lenzi, Ervin Kaminski
author2_role author
author
author
author
author
dc.contributor.author.fl_str_mv Duarte, Alexandre F. B.
Pereira, Jessica de M. Gatti
Lenzi, Marcelo Kaminski
Gonçalves, Giane
Rossato, Roberto
Lenzi, Ervin Kaminski
dc.subject.por.fl_str_mv diffusion equation
fractional derivative
anomalous diffusion
topic diffusion equation
fractional derivative
anomalous diffusion
description We investigate for the diffusion equation the differences manifested by the solutions when three different types of spatial differential operators of noninteger (or fractional) order are considered for a limited and unlimited region.  In all cases, we verify an anomalous spreading of the system, which can be connected to a rich class of anomalous diffusion processes. 
publishDate 2014
dc.date.none.fl_str_mv 2014-09-12
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
format article
status_str publishedVersion
dc.identifier.uri.fl_str_mv http://www.periodicos.uem.br/ojs/index.php/ActaSciTechnol/article/view/24413
10.4025/actascitechnol.v36i4.24413
url http://www.periodicos.uem.br/ojs/index.php/ActaSciTechnol/article/view/24413
identifier_str_mv 10.4025/actascitechnol.v36i4.24413
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv http://www.periodicos.uem.br/ojs/index.php/ActaSciTechnol/article/view/24413/pdf_38
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 Universidade Estadual De Maringá
publisher.none.fl_str_mv Universidade Estadual De Maringá
dc.source.none.fl_str_mv Acta Scientiarum. Technology; Vol 36 No 4 (2014); 657-662
Acta Scientiarum. Technology; v. 36 n. 4 (2014); 657-662
1806-2563
1807-8664
reponame:Acta scientiarum. Technology (Online)
instname:Universidade Estadual de Maringá (UEM)
instacron:UEM
instname_str Universidade Estadual de Maringá (UEM)
instacron_str UEM
institution UEM
reponame_str Acta scientiarum. Technology (Online)
collection Acta scientiarum. Technology (Online)
repository.name.fl_str_mv Acta scientiarum. Technology (Online) - Universidade Estadual de Maringá (UEM)
repository.mail.fl_str_mv ||actatech@uem.br
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