| 用变量分离法求解分数阶微分方程 |
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| 引用本文： | 陈世平. 用变量分离法求解分数阶微分方程[J]. 泉州师范学院学报, 2007, 25(4): 1-3 |
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| 作者姓名： | 陈世平 |
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| 作者单位： | 泉州师范学院,理工学院,福建,泉州,362000 |
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| 摘 要： | 为了更好地描述在受反常扩散和非指数松弛方式控制的复杂系统里的运输动力,提出了扩散和Fokker-Planck类型的分数阶运动方程,而这些分数阶微分方程是从基本的随机行走模型里导出来的.文章将用变量分离法求解这两类分数阶运动方程.
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| 关 键 词： | 分数阶扩散方程 分数阶Fokker-Planck方程 反常扩散 变量分离法 |
| 文章编号： | 1009-8224（2007）04-0001-03 |
| 修稿时间： | 2007-01-25 |
Separation of Variables Method for Fractional Differential Equations |
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| CHEN Shi-ping. Separation of Variables Method for Fractional Differential Equations[J]. Journal of Quanzhou Normal College, 2007, 25(4): 1-3 |
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| Authors: | CHEN Shi-ping |
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| Affiliation: | School of Science, Quanzhou Normal University, Fujian 362000, China |
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| Abstract: | Fractional kinetic equations of the diffusion and Fokker-Planck type are presented as a useful approach for the description of transport dynamics in complex systems which are governed by anomalous diffusion and non-exponential relaxation patterns.These fractional differential equations are derived from basic random walk models.In this paper these fractional differential equations are solved by separation of variables method. |
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| Keywords: | fractional diffusion equation fractional Fokker-Planck equation anomalous diffusion separation of variables method |
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