TY - JOUR
TI - Variable separation for time fractional advection-dispersion equation with initial and boundary conditions
AU - Zhang Sheng
AU - Liu Mingying
AU - Zhang Luyao
JN - Thermal Science
PY - 2016
VL - 20
IS - 3
SP - 789
EP - 792
PT - Article
AB - In this paper, variable separation method combined with the properties of  Mittag-Leffler function is used to solve a variable-coefficient time  fractional advection-dispersion equation with initial and boundary  conditions. As a result, a explicit exact solution is obtained. It is shown  that the variable separation method can provide a useful mathematical tool  for solving the time fractional heat transfer equations.