A generalized neumann solution for the two-phase fractional lame-clapeyron-stefan problem
We obtain a generalized Neumann solution for the two-phase fractional Lam´eClapeyron-Stefan problem for a semi-infinite material with constant boundary and initial conditions. In this problem, the two governing equations and a governing condition for the free boundary include a fractional time deriv...
| Autores: | , |
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| Tipo de recurso: | artículo |
| Estado: | Versión publicada |
| Fecha de publicación: | 2014 |
| País: | Argentina |
| Institución: | Consejo Nacional de Investigaciones Científicas y Técnicas |
| Repositorio: | CONICET Digital (CONICET) |
| Idioma: | inglés |
| OAI Identifier: | oai:ri.conicet.gov.ar:11336/31039 |
| Acceso en línea: | http://hdl.handle.net/11336/31039 |
| Access Level: | acceso abierto |
| Palabra clave: | LAME-CLAPEYRON-STEFAN PROBLEM NEUMANN SOLUTION FRACTIONAL DIFFUSION EQUATION CAPUTO FRACTIONAL DERIVATIVE https://purl.org/becyt/ford/1.1 https://purl.org/becyt/ford/1 |
| Sumario: | We obtain a generalized Neumann solution for the two-phase fractional Lam´eClapeyron-Stefan problem for a semi-infinite material with constant boundary and initial conditions. In this problem, the two governing equations and a governing condition for the free boundary include a fractional time derivative in the Caputo sense of order 0 < α ≤ 1. When α ↗ 1 we recover the classical Neumann solution for the two-phase Lam´eClapeyron-Stefan problem given through the error function |
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