Explicit solutions to fractional Stefan-like problems for Caputo and Riemann–Liouville derivatives

Autores
Roscani, Sabrina Dina; Caruso, Nahuel Domingo; Tarzia, Domingo Alberto
Año de publicación
2020
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
Two fractional two-phase Stefan-like problems are considered by using Riemann-Liouville and Caputo derivatives of order α ∈ (0, 1) verifying that they coincide with the same classical Stefan problem at the limit case when α=1. For both problems, explicit solutions in terms of the Wright functions are presented. Even though the similarity of the two solutions, a proof that they are different is also given. The convergence when α↗1 of the one and the other solutions to the same classical solution is also given. Numerical examples for the dimensionless version of the problem are presented and analyzed.
Fil: Roscani, Sabrina Dina. Universidad Austral. Facultad de Ciencias Empresariales. Departamento de Matemáticas; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina
Fil: Caruso, Nahuel Domingo. Universidad Nacional de Rosario. Facultad de Ciencias Exactas Ingeniería y Agrimensura. Escuela de Ciencias Exactas y Naturales. Departamento de Matemática; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Rosario. Centro Internacional Franco Argentino de Ciencias de la Información y de Sistemas. Universidad Nacional de Rosario. Centro Internacional Franco Argentino de Ciencias de la Información y de Sistemas; Argentina
Fil: Tarzia, Domingo Alberto. Universidad Austral. Facultad de Ciencias Empresariales. Departamento de Matemáticas; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina
Materia
TWO-PHASE STEFAN-LIKE PROBLEM
EXPLICIT SOLUTION
CAPUTO AND RIEMANN?LIOUVILLE DERIVATIVES
WRIGHT FUNCTIONS
Nivel de accesibilidad
acceso abierto
Condiciones de uso
https://creativecommons.org/licenses/by/2.5/ar/
Repositorio
CONICET Digital (CONICET)
Institución
Consejo Nacional de Investigaciones Científicas y Técnicas
OAI Identificador
oai:ri.conicet.gov.ar:11336/157303
Acceder
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network_name_str CONICET Digital (CONICET)
spelling Explicit solutions to fractional Stefan-like problems for Caputo and Riemann–Liouville derivativesRoscani, Sabrina DinaCaruso, Nahuel DomingoTarzia, Domingo AlbertoTWO-PHASE STEFAN-LIKE PROBLEMEXPLICIT SOLUTIONCAPUTO AND RIEMANN?LIOUVILLE DERIVATIVESWRIGHT FUNCTIONShttps://purl.org/becyt/ford/1.1https://purl.org/becyt/ford/1Two fractional two-phase Stefan-like problems are considered by using Riemann-Liouville and Caputo derivatives of order α ∈ (0, 1) verifying that they coincide with the same classical Stefan problem at the limit case when α=1. For both problems, explicit solutions in terms of the Wright functions are presented. Even though the similarity of the two solutions, a proof that they are different is also given. The convergence when α↗1 of the one and the other solutions to the same classical solution is also given. Numerical examples for the dimensionless version of the problem are presented and analyzed.Fil: Roscani, Sabrina Dina. Universidad Austral. Facultad de Ciencias Empresariales. Departamento de Matemáticas; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; ArgentinaFil: Caruso, Nahuel Domingo. Universidad Nacional de Rosario. Facultad de Ciencias Exactas Ingeniería y Agrimensura. Escuela de Ciencias Exactas y Naturales. Departamento de Matemática; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Rosario. Centro Internacional Franco Argentino de Ciencias de la Información y de Sistemas. Universidad Nacional de Rosario. Centro Internacional Franco Argentino de Ciencias de la Información y de Sistemas; ArgentinaFil: Tarzia, Domingo Alberto. Universidad Austral. Facultad de Ciencias Empresariales. Departamento de Matemáticas; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; ArgentinaElsevier Science2020-11info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfapplication/pdfapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/157303Roscani, Sabrina Dina; Caruso, Nahuel Domingo; Tarzia, Domingo Alberto; Explicit solutions to fractional Stefan-like problems for Caputo and Riemann–Liouville derivatives; Elsevier Science; Communications In Nonlinear Science And Numerical Simulation; 90; 105361; 11-2020; 1-171007-57041878-7274CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/url/http://www.sciencedirect.com/science/article/pii/S1007570420301933info:eu-repo/semantics/altIdentifier/doi/10.1016/j.cnsns.2020.105361info:eu-repo/semantics/altIdentifier/url/https://arxiv.org/abs/2001.10896info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-10T13:18:24Zoai:ri.conicet.gov.ar:11336/157303instacron: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:34982025-09-10 13:18:25.231CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Explicit solutions to fractional Stefan-like problems for Caputo and Riemann–Liouville derivatives
title Explicit solutions to fractional Stefan-like problems for Caputo and Riemann–Liouville derivatives
spellingShingle Explicit solutions to fractional Stefan-like problems for Caputo and Riemann–Liouville derivatives
Roscani, Sabrina Dina
TWO-PHASE STEFAN-LIKE PROBLEM
EXPLICIT SOLUTION
CAPUTO AND RIEMANN?LIOUVILLE DERIVATIVES
WRIGHT FUNCTIONS
title_short Explicit solutions to fractional Stefan-like problems for Caputo and Riemann–Liouville derivatives
title_full Explicit solutions to fractional Stefan-like problems for Caputo and Riemann–Liouville derivatives
title_fullStr Explicit solutions to fractional Stefan-like problems for Caputo and Riemann–Liouville derivatives
title_full_unstemmed Explicit solutions to fractional Stefan-like problems for Caputo and Riemann–Liouville derivatives
title_sort Explicit solutions to fractional Stefan-like problems for Caputo and Riemann–Liouville derivatives
dc.creator.none.fl_str_mv Roscani, Sabrina Dina
Caruso, Nahuel Domingo
Tarzia, Domingo Alberto
author Roscani, Sabrina Dina
author_facet Roscani, Sabrina Dina
Caruso, Nahuel Domingo
Tarzia, Domingo Alberto
author_role author
author2 Caruso, Nahuel Domingo
Tarzia, Domingo Alberto
author2_role author
author
dc.subject.none.fl_str_mv TWO-PHASE STEFAN-LIKE PROBLEM
EXPLICIT SOLUTION
CAPUTO AND RIEMANN?LIOUVILLE DERIVATIVES
WRIGHT FUNCTIONS
topic TWO-PHASE STEFAN-LIKE PROBLEM
EXPLICIT SOLUTION
CAPUTO AND RIEMANN?LIOUVILLE DERIVATIVES
WRIGHT FUNCTIONS
purl_subject.fl_str_mv https://purl.org/becyt/ford/1.1
https://purl.org/becyt/ford/1
dc.description.none.fl_txt_mv Two fractional two-phase Stefan-like problems are considered by using Riemann-Liouville and Caputo derivatives of order α ∈ (0, 1) verifying that they coincide with the same classical Stefan problem at the limit case when α=1. For both problems, explicit solutions in terms of the Wright functions are presented. Even though the similarity of the two solutions, a proof that they are different is also given. The convergence when α↗1 of the one and the other solutions to the same classical solution is also given. Numerical examples for the dimensionless version of the problem are presented and analyzed.
Fil: Roscani, Sabrina Dina. Universidad Austral. Facultad de Ciencias Empresariales. Departamento de Matemáticas; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina
Fil: Caruso, Nahuel Domingo. Universidad Nacional de Rosario. Facultad de Ciencias Exactas Ingeniería y Agrimensura. Escuela de Ciencias Exactas y Naturales. Departamento de Matemática; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Rosario. Centro Internacional Franco Argentino de Ciencias de la Información y de Sistemas. Universidad Nacional de Rosario. Centro Internacional Franco Argentino de Ciencias de la Información y de Sistemas; Argentina
Fil: Tarzia, Domingo Alberto. Universidad Austral. Facultad de Ciencias Empresariales. Departamento de Matemáticas; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina
description Two fractional two-phase Stefan-like problems are considered by using Riemann-Liouville and Caputo derivatives of order α ∈ (0, 1) verifying that they coincide with the same classical Stefan problem at the limit case when α=1. For both problems, explicit solutions in terms of the Wright functions are presented. Even though the similarity of the two solutions, a proof that they are different is also given. The convergence when α↗1 of the one and the other solutions to the same classical solution is also given. Numerical examples for the dimensionless version of the problem are presented and analyzed.
publishDate 2020
dc.date.none.fl_str_mv 2020-11
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/11336/157303
Roscani, Sabrina Dina; Caruso, Nahuel Domingo; Tarzia, Domingo Alberto; Explicit solutions to fractional Stefan-like problems for Caputo and Riemann–Liouville derivatives; Elsevier Science; Communications In Nonlinear Science And Numerical Simulation; 90; 105361; 11-2020; 1-17
1007-5704
1878-7274
CONICET Digital
CONICET
url http://hdl.handle.net/11336/157303
identifier_str_mv Roscani, Sabrina Dina; Caruso, Nahuel Domingo; Tarzia, Domingo Alberto; Explicit solutions to fractional Stefan-like problems for Caputo and Riemann–Liouville derivatives; Elsevier Science; Communications In Nonlinear Science And Numerical Simulation; 90; 105361; 11-2020; 1-17
1007-5704
1878-7274
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/url/http://www.sciencedirect.com/science/article/pii/S1007570420301933
info:eu-repo/semantics/altIdentifier/doi/10.1016/j.cnsns.2020.105361
info:eu-repo/semantics/altIdentifier/url/https://arxiv.org/abs/2001.10896
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
https://creativecommons.org/licenses/by/2.5/ar/
eu_rights_str_mv openAccess
rights_invalid_str_mv https://creativecommons.org/licenses/by/2.5/ar/
dc.format.none.fl_str_mv application/pdf
application/pdf
application/pdf
application/pdf
application/pdf
dc.publisher.none.fl_str_mv Elsevier Science
publisher.none.fl_str_mv Elsevier Science
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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score 12.48226

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