Journal of applied mathematics & informatics
- Volume 19 Issue 1_2
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- Pages.179-190
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- 2005
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- 2734-1194(pISSN)
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- 2234-8417(eISSN)
THE SPACE-TIME FRACTIONAL DIFFUSION EQUATION WITH CAPUTO DERIVATIVES
- HUANG F. (Department of Mathematical Science, Xiamen University, School of Mathematical Sciences, Queensland University) ;
- LIU F. (Department of Mathematical Science, Xiamen University, School of Mathematical Sciences, South China University of Technology)
- Published : 2005.09.01
Abstract
We deal with the Cauchy problem for the space-time fractional diffusion equation, which is obtained from standard diffusion equation by replacing the second-order space derivative with a Caputo (or Riemann-Liouville) derivative of order
Keywords
- Fractional diffusion equation;
- time-space;
- Caputo derivative;
- Fourier transform;
- Laplace transform;
- Mittag-Leffler function;
- Green function;
- stable probability distributions