SOME PROBLEMS OF FRACTIONAL PARTIAL DIFFERENCE DIFFUSION EQUATIONS

• 作者: Jinfa Cheng
• 来源期刊: 微分方程年刊：英文版
• 学科: 数学
• 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
• 年，卷（期）: 2014,（1）
• 页码范围: 5-14
• 页数: 10页
• 分类号: O175.2

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.