## THERMAL SCIENCE

International Scientific Journal

### VARIABLE SEPARATION FOR TIME FRACTIONAL ADVECTION-DISPERSION EQUATION WITH INITIAL AND BOUNDARY CONDITIONS

**ABSTRACT**

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.

**KEYWORDS**

PAPER SUBMITTED: 2015-11-28

PAPER REVISED: 2015-12-18

PAPER ACCEPTED: 2016-02-02

PUBLISHED ONLINE: 2016-08-13

**THERMAL SCIENCE** YEAR

**2016**, VOLUME

**20**, ISSUE

**Issue 3**, PAGES [789 - 792]

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