The Concentration Distribution of Fractional Anomalous Diffusion Caused by an Instantaneous Point Source

DUAN Jun-sheng; XU Ming-yu

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DUAN Jun-sheng, XU Ming-yu. The Concentration Distribution of Fractional Anomalous Diffusion Caused by an Instantaneous Point Source[J]. Applied Mathematics and Mechanics, 2003, 24(11): 1151-1156.

Citation:

DUAN Jun-sheng, XU Ming-yu. The Concentration Distribution of Fractional Anomalous Diffusion Caused by an Instantaneous Point Source[J]. Applied Mathematics and Mechanics, 2003, 24(11): 1151-1156.

Citation:

DUAN Jun-sheng, XU Ming-yu. The Concentration Distribution of Fractional Anomalous Diffusion Caused by an Instantaneous Point Source[J]. Applied Mathematics and Mechanics, 2003, 24(11): 1151-1156.

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The Concentration Distribution of Fractional Anomalous Diffusion Caused by an Instantaneous Point Source

DUAN Jun-sheng¹,
XU Ming-yu²

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 Date: 2001-07-04
Rev Recd Date: 2003-07-02
Publish Date: 2003-11-15

Abstract

Abstract

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.
- instantaneous point source,
- anomalous diffusion,
- fractional calculus,
- Fox function,
- Mellin transform

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References(12)

References

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