论文标题
分数空间一相Stefan问题的相似方法和明确解决方案
The similarity method and explicit solutions for the fractional space one-phase Stefan problems
论文作者
论文摘要
在本文中，我们可以根据三个参数mittag-leffer函数$ e_ {α，m; l}（z）$来获得一阶段一维小数空间stefan问题的自相似解决方案。我们考虑固定面的Dirichlet和Newmann条件，涉及$ 0 <α<1 $的Caputo分数太空衍生物。当Caputo衍生物的顺序接近一个时，我们会为经典的一阶段Stefan问题恢复解决方案。
In this paper we obtain self-similarity solutions for a one-phase one-dimensional fractional space one-phase Stefan problem in terms of the three parametric Mittag-Leffer function $E_{α,m;l}(z)$. We consider Dirichlet and Newmann conditions at the fixed face, involving Caputo fractional space derivatives of order $0 < α< 1$. We recover the solution for the classical one-phase Stefan problem when the order of the Caputo derivatives approaches one.
