A generalized neumann solution for the two-phase fractional lame-clapeyron-stefan problem

Autores
Roscani, Sabrina Dina; Tarzia, Domingo Alberto
Año de publicación
2014
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
We obtain a generalized Neumann solution for the two-phase fractional Lam´eClapeyron-Stefan problem for a semi-infinite material with constant boundary and initial conditions. In this problem, the two governing equations and a governing condition for the free boundary include a fractional time derivative in the Caputo sense of order 0 < α ≤ 1. When α ↗ 1 we recover the classical Neumann solution for the two-phase Lam´eClapeyron-Stefan problem given through the error function
Fil: Roscani, Sabrina Dina. Universidad Nacional de Rosario. Facultad de Cs.exactas Ingeniería y Agrimensura. Escuela de Cs.exactas y Naturales. Departamento de Matemática; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina
Fil: Tarzia, Domingo Alberto. Universidad Austral. Facultad de Cs.empresariales. Departamento de Matemáticas; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina
Materia
LAME-CLAPEYRON-STEFAN PROBLEM
NEUMANN SOLUTION
FRACTIONAL DIFFUSION EQUATION
CAPUTO FRACTIONAL DERIVATIVE
Nivel de accesibilidad
acceso abierto
Condiciones de uso
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
Repositorio
CONICET Digital (CONICET)
Institución
Consejo Nacional de Investigaciones Científicas y Técnicas
OAI Identificador
oai:ri.conicet.gov.ar:11336/31039
Acceder
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oai_identifier_str oai:ri.conicet.gov.ar:11336/31039
network_acronym_str CONICETDig
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network_name_str CONICET Digital (CONICET)
spelling A generalized neumann solution for the two-phase fractional lame-clapeyron-stefan problemRoscani, Sabrina DinaTarzia, Domingo AlbertoLAME-CLAPEYRON-STEFAN PROBLEMNEUMANN SOLUTIONFRACTIONAL DIFFUSION EQUATIONCAPUTO FRACTIONAL DERIVATIVEhttps://purl.org/becyt/ford/1.1https://purl.org/becyt/ford/1We obtain a generalized Neumann solution for the two-phase fractional Lam´eClapeyron-Stefan problem for a semi-infinite material with constant boundary and initial conditions. In this problem, the two governing equations and a governing condition for the free boundary include a fractional time derivative in the Caputo sense of order 0 < α ≤ 1. When α ↗ 1 we recover the classical Neumann solution for the two-phase Lam´eClapeyron-Stefan problem given through the error functionFil: Roscani, Sabrina Dina. Universidad Nacional de Rosario. Facultad de Cs.exactas Ingeniería y Agrimensura. Escuela de Cs.exactas y Naturales. Departamento de Matemática; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; ArgentinaFil: Tarzia, Domingo Alberto. Universidad Austral. Facultad de Cs.empresariales. Departamento de Matemáticas; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; ArgentinaGakkotosho2014-04info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/31039Tarzia, Domingo Alberto; Roscani, Sabrina Dina; A generalized neumann solution for the two-phase fractional lame-clapeyron-stefan problem; Gakkotosho; Advances In Mathematical Sciences And Applications; 24; 2; 4-2014; 237-2491343-4373CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/arxiv/https://arxiv.org/abs/1405.5928info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-29T10:10:25Zoai:ri.conicet.gov.ar:11336/31039instacron:CONICETInstitucionalhttp://ri.conicet.gov.ar/Organismo científico-tecnológicoNo correspondehttp://ri.conicet.gov.ar/oai/requestdasensio@conicet.gov.ar; lcarlino@conicet.gov.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:34982025-09-29 10:10:25.353CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv A generalized neumann solution for the two-phase fractional lame-clapeyron-stefan problem
title A generalized neumann solution for the two-phase fractional lame-clapeyron-stefan problem
spellingShingle A generalized neumann solution for the two-phase fractional lame-clapeyron-stefan problem
Roscani, Sabrina Dina
LAME-CLAPEYRON-STEFAN PROBLEM
NEUMANN SOLUTION
FRACTIONAL DIFFUSION EQUATION
CAPUTO FRACTIONAL DERIVATIVE
title_short A generalized neumann solution for the two-phase fractional lame-clapeyron-stefan problem
title_full A generalized neumann solution for the two-phase fractional lame-clapeyron-stefan problem
title_fullStr A generalized neumann solution for the two-phase fractional lame-clapeyron-stefan problem
title_full_unstemmed A generalized neumann solution for the two-phase fractional lame-clapeyron-stefan problem
title_sort A generalized neumann solution for the two-phase fractional lame-clapeyron-stefan problem
dc.creator.none.fl_str_mv Roscani, Sabrina Dina
Tarzia, Domingo Alberto
author Roscani, Sabrina Dina
author_facet Roscani, Sabrina Dina
Tarzia, Domingo Alberto
author_role author
author2 Tarzia, Domingo Alberto
author2_role author
dc.subject.none.fl_str_mv LAME-CLAPEYRON-STEFAN PROBLEM
NEUMANN SOLUTION
FRACTIONAL DIFFUSION EQUATION
CAPUTO FRACTIONAL DERIVATIVE
topic LAME-CLAPEYRON-STEFAN PROBLEM
NEUMANN SOLUTION
FRACTIONAL DIFFUSION EQUATION
CAPUTO FRACTIONAL DERIVATIVE
purl_subject.fl_str_mv https://purl.org/becyt/ford/1.1
https://purl.org/becyt/ford/1
dc.description.none.fl_txt_mv We obtain a generalized Neumann solution for the two-phase fractional Lam´eClapeyron-Stefan problem for a semi-infinite material with constant boundary and initial conditions. In this problem, the two governing equations and a governing condition for the free boundary include a fractional time derivative in the Caputo sense of order 0 < α ≤ 1. When α ↗ 1 we recover the classical Neumann solution for the two-phase Lam´eClapeyron-Stefan problem given through the error function
Fil: Roscani, Sabrina Dina. Universidad Nacional de Rosario. Facultad de Cs.exactas Ingeniería y Agrimensura. Escuela de Cs.exactas y Naturales. Departamento de Matemática; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina
Fil: Tarzia, Domingo Alberto. Universidad Austral. Facultad de Cs.empresariales. Departamento de Matemáticas; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina
description We obtain a generalized Neumann solution for the two-phase fractional Lam´eClapeyron-Stefan problem for a semi-infinite material with constant boundary and initial conditions. In this problem, the two governing equations and a governing condition for the free boundary include a fractional time derivative in the Caputo sense of order 0 < α ≤ 1. When α ↗ 1 we recover the classical Neumann solution for the two-phase Lam´eClapeyron-Stefan problem given through the error function
publishDate 2014
dc.date.none.fl_str_mv 2014-04
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
http://purl.org/coar/resource_type/c_6501
info:ar-repo/semantics/articulo
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv http://hdl.handle.net/11336/31039
Tarzia, Domingo Alberto; Roscani, Sabrina Dina; A generalized neumann solution for the two-phase fractional lame-clapeyron-stefan problem; Gakkotosho; Advances In Mathematical Sciences And Applications; 24; 2; 4-2014; 237-249
1343-4373
CONICET Digital
CONICET
url http://hdl.handle.net/11336/31039
identifier_str_mv Tarzia, Domingo Alberto; Roscani, Sabrina Dina; A generalized neumann solution for the two-phase fractional lame-clapeyron-stefan problem; Gakkotosho; Advances In Mathematical Sciences And Applications; 24; 2; 4-2014; 237-249
1343-4373
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/arxiv/https://arxiv.org/abs/1405.5928
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
eu_rights_str_mv openAccess
rights_invalid_str_mv https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.format.none.fl_str_mv application/pdf
application/pdf
application/pdf
dc.publisher.none.fl_str_mv Gakkotosho
publisher.none.fl_str_mv Gakkotosho
dc.source.none.fl_str_mv reponame:CONICET Digital (CONICET)
instname:Consejo Nacional de Investigaciones Científicas y Técnicas
reponame_str CONICET Digital (CONICET)
collection CONICET Digital (CONICET)
instname_str Consejo Nacional de Investigaciones Científicas y Técnicas
repository.name.fl_str_mv CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicas
repository.mail.fl_str_mv dasensio@conicet.gov.ar; lcarlino@conicet.gov.ar
_version_ 1844613993311764480
score 13.069144

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