CONCENTRATION DISTRIBUTION OF FRACTIONAL ANOMALOUS DIFFUSION CAUSED BY AN INSTANTANEOUS POINT SOURCE

Applied Mathematics and Mechanics (English Edition) ›› 2003, Vol. 24 ›› Issue (11): 1302-1308.

CONCENTRATION DISTRIBUTION OF FRACTIONAL ANOMALOUS DIFFUSION CAUSED BY AN INSTANTANEOUS POINT SOURCE

段俊生¹, 徐明瑜²

1. Department of Basic Sciences, Tianjin University of Commerce, Tianjin 300134, P. R. China;
2. Institute of Mathematics and Systematical Science, Shandong University, Jinan 250100, P. R. China

收稿日期:2001-07-04 修回日期:2003-07-02 出版日期:2003-11-18 发布日期:2003-11-18
基金资助:
the National Natural Science Foundation of China (10272067);the Doctoral Foundation of Education Ministry of China (1999042211)

CONCENTRATION DISTRIBUTION OF FRACTIONAL ANOMALOUS DIFFUSION CAUSED BY AN INSTANTANEOUS POINT SOURCE

DUAN Jun-sheng¹, XU Ming-yu ²

1. Department of Basic Sciences, Tianjin University of Commerce, Tianjin 300134, P. R. China;
2. Institute of Mathematics and Systematical Science, Shandong University, Jinan 250100, P. R. China

Received:2001-07-04 Revised:2003-07-02 Online:2003-11-18 Published:2003-11-18
Supported by:
the National Natural Science Foundation of China (10272067);the Doctoral Foundation of Education Ministry of China (1999042211)

摘要/Abstract

摘要： The Fox function expression and the analytic expression for the concentration distribution of fractional anomalous diffusion caused by an instantaneous point source in n-dimensional space (n= 1, 2 or 3) are derived by means of the condition of mass conservation, the time-space similarity of the solution, Mellin transform and the properties of the Fox function. And the asymptotic behaviors for the solutions are also given.

中图分类号:

O175.6

段俊生;徐明瑜. CONCENTRATION DISTRIBUTION OF FRACTIONAL ANOMALOUS DIFFUSION CAUSED BY AN INSTANTANEOUS POINT SOURCE[J]. Applied Mathematics and Mechanics (English Edition), 2003, 24(11): 1302-1308.

DUAN Jun-sheng;XU Ming-yu . CONCENTRATION DISTRIBUTION OF FRACTIONAL ANOMALOUS DIFFUSION CAUSED BY AN INSTANTANEOUS POINT SOURCE[J]. Applied Mathematics and Mechanics (English Edition), 2003, 24(11): 1302-1308.

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CONCENTRATION DISTRIBUTION OF FRACTIONAL ANOMALOUS DIFFUSION CAUSED BY AN INSTANTANEOUS POINT SOURCE

CONCENTRATION DISTRIBUTION OF FRACTIONAL ANOMALOUS DIFFUSION CAUSED BY AN INSTANTANEOUS POINT SOURCE

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