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Campo DC | Valor | Lengua/Idioma |
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dc.creator | Tarzia, Domingo Alberto | - |
dc.date | 2018-07-23T17:36:53Z | - |
dc.date | 2018-07-23T17:36:53Z | - |
dc.date | 2015-09 | - |
dc.date | 2018-07-20T18:03:46Z | - |
dc.date.accessioned | 2019-04-29T15:57:28Z | - |
dc.date.available | 2019-04-29T15:57:28Z | - |
dc.identifier | Tarzia, 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.identifier | 2152-7393 | - |
dc.identifier | http://hdl.handle.net/11336/52840 | - |
dc.identifier | CONICET Digital | - |
dc.identifier | CONICET | - |
dc.identifier.uri | http://rodna.bn.gov.ar:8080/jspui/handle/bnmm/306209 | - |
dc.description | We 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.description | Fil: 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.format | application/pdf | - |
dc.format | application/pdf | - |
dc.language | eng | - |
dc.publisher | Scientific Research Publishing | - |
dc.relation | info:eu-repo/semantics/altIdentifier/url/https://www.scirp.org/journal/PaperInformation.aspx?PaperID=61589 | - |
dc.relation | info:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.4236/am.2015.613191 | - |
dc.relation | info:eu-repo/semantics/altIdentifier/url/https://arxiv.org/abs/1509.03663 | - |
dc.rights | info:eu-repo/semantics/openAccess | - |
dc.rights | https://creativecommons.org/licenses/by/2.5/ar/ | - |
dc.source | reponame:CONICET Digital (CONICET) | - |
dc.source | instname:Consejo Nacional de Investigaciones Científicas y Técnicas | - |
dc.source | instacron:CONICET | - |
dc.subject | Unknown thermal coefficients | - |
dc.subject | Fractional Stefan problem | - |
dc.subject | Matemática Pura | - |
dc.subject | Matemáticas | - |
dc.subject | CIENCIAS NATURALES Y EXACTAS | - |
dc.title | Determination of One Unknown Thermal Coefficient through the One-Phase Fractional Lamé-Clapeyron-Stefan Problem | - |
dc.type | info:eu-repo/semantics/article | - |
dc.type | info:eu-repo/semantics/publishedVersion | - |
dc.type | info:ar-repo/semantics/articulo | - |
Aparece en las colecciones: | CONICET |
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