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Jianshe Sun

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
heat-like models，fractional power series, fractional differential equation with variable coefficients, Liouville-Caputo fractional derivative
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
CITATION EXPORT: view in browser or download as text file
THERMAL SCIENCE YEAR 2019, VOLUME 23, ISSUE Issue 6, PAGES [3725 - 3729]
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Approximate analytic solutions of multi-dimensional fractional heat-like models with variable coefficients

© 2024 Society of Thermal Engineers of Serbia. Published by the Vinča Institute of Nuclear Sciences, National Institute of the Republic of Serbia, 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