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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
DOI REFERENCE: https://doi.org/10.2298/TSCI1603789Z
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THERMAL SCIENCE YEAR 2016, VOLUME 20, ISSUE 3, PAGES [789 - 792]
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© 2019 Society of Thermal Engineers of Serbia. Published by the Vinča Institute of Nuclear Sciences, Belgrade, Serbia. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution-NonCommercial-NoDerivs 4.0 International licence