In this paper we have used the homotopy analysis method (HAM) to obtain solution of space-time fractional advectiondispersion equation. The fractional derivative is described in the Caputo sense. Some illustrative examples have been presented. The obtained results using homotopy analysis method demonstrate the reliability and efficiency of the proposed algorithm.
Jafari, Hossein and Tajadodi, Haleh
"Numerical Solutions of the Fractional Advection- Dispersion Equation,"
Progress in Fractional Differentiation & Applications: Vol. 1
, Article 4.
Available at: https://dc.naturalspublishing.com/pfda/vol1/iss1/4