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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