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《力学学报(英文版)》 2011-06

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

Ting-Hui Ning·Xiao-Yun Jiang School of Mathematics,Shandong University,250100 Jinan,China
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.
【Fund】： supported by the National Natural Science Foundation of China(11072134 and 11102102)
【CateGory Index】： O551.3;O174.2
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