Analytical solution for the time-fractional heat conduction equation in spherical coordinate system by the method of variable separation

被引：1
|
作者：
Ting-Hui Ning·Xiao-Yun Jiang School of Mathematics
机构：
来源：
Acta Mechanica Sinica | 2011年 / 06期
基金：
中国国家自然科学基金;
关键词：
Fractional Fourier law · Fractional heat conduction equation · Spherical coordinate system · The separation of variables · Mittag-Leffler function;
D O I：
暂无
中图分类号：
O551.3 [物质的热性质]; O174.2 [傅里叶分析（经典调和分析）];
学科分类号：
070104 ; 0702 ;
摘要：
In this paper,using the fractional Fourier law,we obtain the fractional heat conduction equation with a time-fractional derivative in the spherical coordinate system.The method of variable separation is used to solve the timefractional heat conduction equation.The Caputo fractional derivative of the order 0 < α≤ 1 is used.The solution is presented in terms of the Mittag-Leffler functions.Numerical results are illustrated graphically for various values of fractional derivative.
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页码：994 / 1000
页数：7
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