Solution of a three-dimensional boundary-value problem for a fractional differential heat conduction equation

被引：0

作者：

Fil'shtinskii L.A. ^{[1
]}

Mukomel T.V. ^{[1
]}

Kirichok T.A. ^{[1
]}

机构：

[1] Sumy State University, Sumy

来源：

Journal of Mathematical Sciences | 2011年 / 178卷 / 5期

关键词：

Heat Conduction Equation; Cylindrical Cavity; Anomalous Diffusion; Fractional Diffusion Equation; Fractional Time Derivative;

D O I：

10.1007/s10958-011-0569-2

中图分类号：

学科分类号：

摘要：

We consider a three-dimensional axisymmetric problem for a differential heat conduction equation with fractional time derivatives. Using the method of homogeneous solutions and integral transformations, we obtain an asymptotic and a numerical solution of the problem. The results of calculations are presented. © 2011 Springer Science+Business Media, Inc.

引用

页码：557 / 563

页数：6

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