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dc.creatorTarzia, Domingo Alberto-
dc.date2018-07-23T17:36:53Z-
dc.date2018-07-23T17:36:53Z-
dc.date2015-09-
dc.date2018-07-20T18:03:46Z-
dc.date.accessioned2019-04-29T15:57:28Z-
dc.date.available2019-04-29T15:57:28Z-
dc.identifierTarzia, Domingo Alberto; Determination of One Unknown Thermal Coefficient through the One-Phase Fractional Lamé-Clapeyron-Stefan Problem; Scientific Research Publishing; Applied Mathematics; 6; 13; 9-2015; 2182-2191-
dc.identifier2152-7393-
dc.identifierhttp://hdl.handle.net/11336/52840-
dc.identifierCONICET Digital-
dc.identifierCONICET-
dc.identifier.urihttp://rodna.bn.gov.ar:8080/jspui/handle/bnmm/306209-
dc.descriptionWe obtain explicit expressions for one unknown thermal coefficient (among the conductivity, mass density, specific heat and latent heat of fusion) of a semi-infinite material through the one-phase fractional Lamé-Clapeyron-Stefan problem with an over-specified boundary condition on the fixed face x = 0 . The partial differential equation and one of the conditions on the free boundary include a time Caputo’s fractional derivative of order 0 < α < 1. Moreover, we obtain the necessary and sufficient conditions on data in order to have a unique solution by using recent results obtained for the fractional diffusion equation exploiting the properties of the Wright and Mainardi functions, given in: 1) Roscani-Santillan Marcus, Fract. Calc. Appl. Anal., 16 (2013), 802 - 815; 2) Roscani-Tarzia, Adv. Math. Sci. Appl., 24 (2014), 237 - 249 and 3) Voller, Int. J. Heat Mass Transfer, 74 (2014), 269 - 277. This work generalizes the method developed for the determination of unknown thermal coefficients for the classical Lamé-Clapeyron-Stefan problem given in Tarzia, Adv. Appl. Math., 3 (1982), 74 - 82, which is recovered by taking the limit when the order α → 1− .-
dc.descriptionFil: Tarzia, Domingo Alberto. Universidad Austral. Facultad de Ciencias Empresariales. Departamento de Matemáticas; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Rosario; Argentina-
dc.formatapplication/pdf-
dc.formatapplication/pdf-
dc.languageeng-
dc.publisherScientific Research Publishing-
dc.relationinfo:eu-repo/semantics/altIdentifier/url/https://www.scirp.org/journal/PaperInformation.aspx?PaperID=61589-
dc.relationinfo:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.4236/am.2015.613191-
dc.relationinfo:eu-repo/semantics/altIdentifier/url/https://arxiv.org/abs/1509.03663-
dc.rightsinfo:eu-repo/semantics/openAccess-
dc.rightshttps://creativecommons.org/licenses/by/2.5/ar/-
dc.sourcereponame:CONICET Digital (CONICET)-
dc.sourceinstname:Consejo Nacional de Investigaciones Científicas y Técnicas-
dc.sourceinstacron:CONICET-
dc.subjectUnknown thermal coefficients-
dc.subjectFractional Stefan problem-
dc.subjectMatemática Pura-
dc.subjectMatemáticas-
dc.subjectCIENCIAS NATURALES Y EXACTAS-
dc.titleDetermination of One Unknown Thermal Coefficient through the One-Phase Fractional Lamé-Clapeyron-Stefan Problem-
dc.typeinfo:eu-repo/semantics/article-
dc.typeinfo:eu-repo/semantics/publishedVersion-
dc.typeinfo:ar-repo/semantics/articulo-
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