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SOME PROBLEMS OF FRACTIONAL PARTIAL DIFFERENCE DIFFUSION EQUATIONS 被引量：2

SOME PROBLEMS OF FRACTIONAL PARTIAL DIFFERENCE DIFFUSION EQUATIONS
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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. 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.
作者 Jinfa Cheng
机构地区 Dept.of Math.
出处 《Annals of Differential Equations》 2014年第1期5-14,共10页 微分方程年刊（英文版）
关键词 fractional difference fractional summation fractional variation pro-blem fractional partial difference diffusion equations fractional difference fractional summation fractional variation pro-blem fractional partial difference diffusion equations
分类号 O175 [理学—基础数学]
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Annals of Differential Equations
2014年 第1期

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