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arXiv · 1405.5928

A Generalized Neumann Solution for the Two-Phase Fractional Lamé-Clapeyron-Stefan Problem

Sabrina D. Roscani·Domingo A. Tarzia
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Abstract

We obtain a generalized Neumann solution for the two-phase fractional Lamé-Clapeyron-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 $0<\al\leq 1$. When $ \al \nearrow $ 1 we recover the classical Neumann solution for the two-phase Lamé-Clapeyron-Stefan problem given through the error function.

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Sabrina D. Roscani, Domingo A. Tarzia. 2014-05-22. A Generalized Neumann Solution for the Two-Phase Fractional Lamé-Clapeyron-Stefan Problem. https://arxiv.org/abs/1405.5928

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