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Approximate analytic solutions of multi-dimensional fractional heat-like models with variable coefficients

ABSTRACT
In this work, the fractional power series method (FPSM) is applied to solve the two-dimensional and three-dimensional fractional heat-like models with variable coefficients. The fractional derivatives are described in the Liouville-Caputo sense. The analytical approximate solutions and exact solutions for the two-dimensional and three-dimensional fractional heat-like models with variable coefficients are obtained. It is shown that the proposed method provides a very effective, convenient and powerful mathematical tool for solving fractional differential equations in mathematical physics.
KEYWORDS
PAPER SUBMITTED: 2018-06-12
PAPER REVISED: 2018-12-20
PAPER ACCEPTED: 2019-01-25
PUBLISHED ONLINE: 2019-06-08
DOI REFERENCE: https://doi.org/10.2298/TSCI180612256S
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