THERMAL SCIENCE

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Yong-Ju Yang

A NEW METHOD SOLVING LOCAL FRACTIONAL DIFFERENTIAL EQUATIONS IN HEAT TRANSFER

ABSTRACT
In this article, a new method, which is coupled by the variational iteration and reduced differential transform method, is proposed to solve local fractional differential equations. The advantage of the method is that the integral operation of variational iteration is transformed into the differential operation. One test examples is presented to demonstrate the reliability and efficiency of the proposed method.
KEYWORDS
variational iteration method, reduced differential transform method, local fractional differential equation
PAPER SUBMITTED: 2018-09-12
PAPER REVISED: 2018-11-01
PAPER ACCEPTED: 2018-12-21
PUBLISHED ONLINE: 2019-05-26
DOI REFERENCE: https://doi.org/10.2298/TSCI180912237Y
CITATION EXPORT: view in browser or download as text file
THERMAL SCIENCE YEAR 2019, VOLUME 23, ISSUE Issue 3, PAGES [1663 - 1669]
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A new method solving local fractional differential equations in heat transfer

© 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