Journal of applied mathematics & informatics
- Volume 18 Issue 1_2
- /
- Pages.339-350
- /
- 2005
- /
- 2734-1194(pISSN)
- /
- 2234-8417(eISSN)
THE FUNDAMENTAL SOLUTION OF THE SPACE-TIME FRACTIONAL ADVECTION-DISPERSION EQUATION
- HUANG F. (Department of Mathematical Sciences, Xiamen University, School of Mathematical Sciences, South China University of Technology) ;
- LIU F. (Department of Mathematical Sciences, Xiamen University, School of Mathematical Sciences, Queensland University of Technology)
- Published : 2005.03.01
Abstract
A space-time fractional advection-dispersion equation (ADE) is a generalization of the classical ADE in which the first-order time derivative is replaced with Caputo derivative of order
Keywords
- Time-space fractional advection-dispersion equation;
- Fourier transform;
- Laplace transform;
- Mittag-Leffler function;
- Green function;
- Caputo derivative;
- Riesz-Feller derivative