fractional derivative
2.The time fractional advection-dispersion equation is derived from the classical advection-dispersion equation whose 1-order time derivative is replaced by the time fractional order derivative ( 0 <α ≤ 1).
3.Using the relationship between Riesz-Feller,Riemann-Liouville and Grünwald-Letnikov fractional-order derivatives,and discretizing Riesz-Feller fractional-order derivative by the definition of Grünwald-Letnikov,a two-level finite difference scheme was proposed for approximating the Lévy-Feller advection-dispersion equation.

