A new equivalence of Stefan’s problems for the time fractional diffusion equation
- Autores
- Roscani, Sabrina Dina; Santillan Marcus, Eduardo Adrian
- Año de publicación
- 2014
- Idioma
- inglés
- Tipo de recurso
- artículo
- Estado
- versión publicada
- Descripción
- A fractional Stefan’s problem with a boundary convective condition is solved, where the fractional derivative of order α ∈ (0, 1) is taken in the Caputo sense. Then an equivalence with other two fractional Stefan’s problems (the first one with a constant condition on x = 0 and the second with a flux condition) is proved and the convergence to the classical solutions is analyzed when α 1 recovering the heat equation with its respective Stefan’s condition
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: Santillan Marcus, Eduardo Adrian. Universidad Austral Rosario. Facultad de Ciencias Empresariales. Departamento de Matemática; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina - Materia
-
Caputo's fractional derivative
Fractional diffusion equation
Stefan's problem - Nivel de accesibilidad
- acceso abierto
- Condiciones de uso
- https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
- Repositorio
- Institución
- Consejo Nacional de Investigaciones Científicas y Técnicas
- OAI Identificador
- oai:ri.conicet.gov.ar:11336/30098
Ver los metadatos del registro completo
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A new equivalence of Stefan’s problems for the time fractional diffusion equationRoscani, Sabrina DinaSantillan Marcus, Eduardo AdrianCaputo's fractional derivativeFractional diffusion equationStefan's problemhttps://purl.org/becyt/ford/1.1https://purl.org/becyt/ford/1A fractional Stefan’s problem with a boundary convective condition is solved, where the fractional derivative of order α ∈ (0, 1) is taken in the Caputo sense. Then an equivalence with other two fractional Stefan’s problems (the first one with a constant condition on x = 0 and the second with a flux condition) is proved and the convergence to the classical solutions is analyzed when α 1 recovering the heat equation with its respective Stefan’s conditionFil: 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: Santillan Marcus, Eduardo Adrian. Universidad Austral Rosario. Facultad de Ciencias Empresariales. Departamento de Matemática; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; ArgentinaSpringer2014-06info: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/11336/30098Roscani, Sabrina Dina; Santillan Marcus, Eduardo Adrian; A new equivalence of Stefan’s problems for the time fractional diffusion equation; Springer; Fractional Calculus and Applied Analysis; 17; 2; 6-2014; 371-3811311-04541314-2224CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/doi/10.2478/s13540-014-0175-3info:eu-repo/semantics/altIdentifier/url/https://www.degruyter.com/view/j/fca.2014.17.issue-2/s13540-014-0175-3/s13540-014-0175-3.xmlinfo:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-03T10:02:04Zoai:ri.conicet.gov.ar:11336/30098instacron: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:34982025-09-03 10:02:04.789CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse |
dc.title.none.fl_str_mv |
A new equivalence of Stefan’s problems for the time fractional diffusion equation |
title |
A new equivalence of Stefan’s problems for the time fractional diffusion equation |
spellingShingle |
A new equivalence of Stefan’s problems for the time fractional diffusion equation Roscani, Sabrina Dina Caputo's fractional derivative Fractional diffusion equation Stefan's problem |
title_short |
A new equivalence of Stefan’s problems for the time fractional diffusion equation |
title_full |
A new equivalence of Stefan’s problems for the time fractional diffusion equation |
title_fullStr |
A new equivalence of Stefan’s problems for the time fractional diffusion equation |
title_full_unstemmed |
A new equivalence of Stefan’s problems for the time fractional diffusion equation |
title_sort |
A new equivalence of Stefan’s problems for the time fractional diffusion equation |
dc.creator.none.fl_str_mv |
Roscani, Sabrina Dina Santillan Marcus, Eduardo Adrian |
author |
Roscani, Sabrina Dina |
author_facet |
Roscani, Sabrina Dina Santillan Marcus, Eduardo Adrian |
author_role |
author |
author2 |
Santillan Marcus, Eduardo Adrian |
author2_role |
author |
dc.subject.none.fl_str_mv |
Caputo's fractional derivative Fractional diffusion equation Stefan's problem |
topic |
Caputo's fractional derivative Fractional diffusion equation Stefan's problem |
purl_subject.fl_str_mv |
https://purl.org/becyt/ford/1.1 https://purl.org/becyt/ford/1 |
dc.description.none.fl_txt_mv |
A fractional Stefan’s problem with a boundary convective condition is solved, where the fractional derivative of order α ∈ (0, 1) is taken in the Caputo sense. Then an equivalence with other two fractional Stefan’s problems (the first one with a constant condition on x = 0 and the second with a flux condition) is proved and the convergence to the classical solutions is analyzed when α 1 recovering the heat equation with its respective Stefan’s condition 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: Santillan Marcus, Eduardo Adrian. Universidad Austral Rosario. Facultad de Ciencias Empresariales. Departamento de Matemática; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina |
description |
A fractional Stefan’s problem with a boundary convective condition is solved, where the fractional derivative of order α ∈ (0, 1) is taken in the Caputo sense. Then an equivalence with other two fractional Stefan’s problems (the first one with a constant condition on x = 0 and the second with a flux condition) is proved and the convergence to the classical solutions is analyzed when α 1 recovering the heat equation with its respective Stefan’s condition |
publishDate |
2014 |
dc.date.none.fl_str_mv |
2014-06 |
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/11336/30098 Roscani, Sabrina Dina; Santillan Marcus, Eduardo Adrian; A new equivalence of Stefan’s problems for the time fractional diffusion equation; Springer; Fractional Calculus and Applied Analysis; 17; 2; 6-2014; 371-381 1311-0454 1314-2224 CONICET Digital CONICET |
url |
http://hdl.handle.net/11336/30098 |
identifier_str_mv |
Roscani, Sabrina Dina; Santillan Marcus, Eduardo Adrian; A new equivalence of Stefan’s problems for the time fractional diffusion equation; Springer; Fractional Calculus and Applied Analysis; 17; 2; 6-2014; 371-381 1311-0454 1314-2224 CONICET Digital CONICET |
dc.language.none.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
info:eu-repo/semantics/altIdentifier/doi/10.2478/s13540-014-0175-3 info:eu-repo/semantics/altIdentifier/url/https://www.degruyter.com/view/j/fca.2014.17.issue-2/s13540-014-0175-3/s13540-014-0175-3.xml |
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 |
Springer |
publisher.none.fl_str_mv |
Springer |
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 |
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1842269735317667840 |
score |
13.13397 |