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dc.contributor.author
Roscani, Sabrina Dina  
dc.contributor.author
Bollati, Julieta  
dc.contributor.author
Tarzia, Domingo Alberto  
dc.date.available
2020-03-25T18:29:47Z  
dc.date.issued
2018-11  
dc.identifier.citation
Roscani, Sabrina Dina; Bollati, Julieta; Tarzia, Domingo Alberto; A new mathematical formulation for a phase change problem with a memory flux; Pergamon-Elsevier Science Ltd; Chaos, Solitons And Fractals; 116; 11-2018; 340-347  
dc.identifier.issn
0960-0779  
dc.identifier.uri
http://hdl.handle.net/11336/100740  
dc.description.abstract
A mathematical formulation for a one-phase change problem in a form of Stefan problem with a memory flux is obtained. The hypothesis that the integral of weighted backward fluxes is proportional to the gradient of the temperature is considered. The model that arises involves fractional derivatives with respect to time both in the sense of Caputo and of Riemann–Liouville. An integral relation for the free boundary, which is equivalent to the “fractional Stefan condition”, is also obtained.  
dc.format
application/pdf  
dc.language.iso
eng  
dc.publisher
Pergamon-Elsevier Science Ltd  
dc.rights
info:eu-repo/semantics/openAccess  
dc.rights.uri
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/  
dc.subject
CAPUTO DERIVATIVE  
dc.subject
EQUIVALENT INTEGRAL RELATION  
dc.subject
FRACTIONAL DIFFUSION EQUATION  
dc.subject
MEMORY FLUX  
dc.subject
RIEMANN–LIOUVILLE DERIVATIVE  
dc.subject
STEFAN PROBLEM  
dc.subject.classification
Matemática Aplicada  
dc.subject.classification
Matemáticas  
dc.subject.classification
CIENCIAS NATURALES Y EXACTAS  
dc.title
A new mathematical formulation for a phase change problem with a memory flux  
dc.type
info:eu-repo/semantics/article  
dc.type
info:ar-repo/semantics/artículo  
dc.type
info:eu-repo/semantics/publishedVersion  
dc.date.updated
2020-03-25T13:26:45Z  
dc.journal.volume
116  
dc.journal.pagination
340-347  
dc.journal.pais
Países Bajos  
dc.journal.ciudad
Amsterdam  
dc.description.fil
Fil: Roscani, Sabrina Dina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Rosario; Argentina. Universidad Austral. Facultad de Ciencias Empresariales. Departamento de Matemáticas; Argentina  
dc.description.fil
Fil: Bollati, Julieta. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Rosario; Argentina. Universidad Austral. Facultad de Ciencias Empresariales. Departamento de Matemáticas; Argentina  
dc.description.fil
Fil: Tarzia, Domingo Alberto. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Rosario; Argentina. Universidad Austral. Facultad de Ciencias Empresariales. Departamento de Matemáticas; Argentina  
dc.journal.title
Chaos, Solitons And Fractals  
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/https://www.sciencedirect.com/science/article/abs/pii/S096007791830393X?via%3Dihub  
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/doi/https://doi.org/10.1016/j.chaos.2018.09.023  
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/https://arxiv.org/abs/1805.09115  

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