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Concentration distribution of fractional anomalous diffusion caused by an instantaneous point source

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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.

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Author information

Authors and Affiliations

  1. Department of Basic Sciences, Tianjin University of Commerce, 300134, Tianjin, P. R. China

    Duan Jun-sheng Associate professor, Doctor

  2. Institute of Mathematics and Systematical Science, Shandong University, 250100, Jinan, P. R. China

    Xu Ming-yu

Authors
  1. Duan Jun-sheng Associate professor, Doctor
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  2. Xu Ming-yu
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Additional information

Communicated by DAI Shi-qiang and WU Wang-yi

Foundation items: the National Natural Science Foundation of China (10272067); the Doctoral Foundation of Education Ministry of China (1999042211)

Biography: DUAN Jun-sheng (1965≈)

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Jun-sheng, D., Ming-yu, X. Concentration distribution of fractional anomalous diffusion caused by an instantaneous point source. Appl Math Mech 24, 1302–1308 (2003). https://doi.org/10.1007/BF02439653

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  • DOI: https://doi.org/10.1007/BF02439653

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2000 Mathematics Subject Classification

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