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Some Problems of Fractional Partial Difference Diffusion Equations
作者姓名:Jinfa  Cheng
摘    要:This paper mainly discusses the problems of fractional variational problems and fractional diffusion problems using fractional difference and summation. Through the Euler finite difference method we get a variational formulation of the variation problem and the discrete solution to the time-fractional and space-fractional difference equation using separating variables method and two-side Z-transform method.

关 键 词:分数阶  偏微分方程  扩散方程  有限差分法  分离变量法  扩散问题  变分问题  变换方法

SOME PROBLEMS OF FRACTIONAL PARTIAL DIFFERENCE DIFFUSION EQUATIONS
Jinfa Cheng.Some Problems of Fractional Partial Difference Diffusion Equations[J].微分方程年刊(英文版),2014(1):5-14.
Authors:Jinfa Cheng
Institution:Dept. of Math., Xiamen University, Xiamen 361005, Fujian
Abstract:fractional difference fractional summation fractional variation pro-blem fractional partial difference diffusion equations
Keywords:fractional difference  fractional summation  fractional variation pro-blem  fractional partial difference diffusion equations
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