| SCALE-INVARIANT SOLUTION FOR FRACTIONAL ANOMALOUS DIFFUSION EOUATION |
| |
| 引用本文： | Temuer Chaolu. SCALE-INVARIANT SOLUTION FOR FRACTIONAL ANOMALOUS DIFFUSION EOUATION[J]. Annals of Differential Equations, 2006, 0(1) |
| |
| 作者姓名： | Temuer Chaolu |
| |
| 作者单位： | College of |
| |
| 基金项目： | Supported by the National Natural Science Foundation of China (10461005)，the Department Fund of Science and Technology in Tianjin Higher Education Institutions (20050404). |
| |
| 摘 要： | Fractional diffusion equation for transport phenomena in fractal media is an integro-partial differential equation. For solving the problem of this kind of equation the invariants of the group of scaling transformations are given and then used for deriving the integro-ordinary differential equation for the scale-invariant solution. With the help of Mellin transform the scale-invariant solution is obtained in terms of Fox functions. And the series and asymptotic representations for the solution are considered.
|
SCALE-INVARIANT SOLUTION FOR FRACTIONAL ANOMALOUS DIFFUSION EOUATION |
| |
| Duan Junsheng Temuer Chaolu. SCALE-INVARIANT SOLUTION FOR FRACTIONAL ANOMALOUS DIFFUSION EOUATION[J]. 微分方程年刊(英文版), 2006, 0(1) |
| |
| Authors: | Duan Junsheng Temuer Chaolu |
| |
| Abstract: | Fractional diffusion equation for transport phenomena in fractal media is an integro-partial differential equation. For solving the problem of this kind of equation the invariants of the group of scaling transformations are given and then used for deriving the integro-ordinary differential equation for the scale-invariant solution. With the help of Mellin transform the scale-invariant solution is obtained in terms of Fox functions. And the series and asymptotic representations for the solution are considered. |
| |
| Keywords: | fractional calculus anomalous diffusion scale-invariant solution Fox functions |
| 本文献已被 CNKI 等数据库收录！ |
