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THE FRACTIONAL RESIDUAL METHOD FOR SOLVING THE LOCAL FRACTIONAL DIFFERENTIAL EQUATIONS

ABSTRACT
This paper proposes a new method to solve local fractional differential equation. The method divides the studied equation into a system, where the initial solution is obtained from a residual equation. The new method is therefore named as the fractional residual method. Examples are given to elucidate its efficiency and reliability.
KEYWORDS
PAPER SUBMITTED: 2019-04-25
PAPER REVISED: 2019-11-01
PAPER ACCEPTED: 2019-11-01
PUBLISHED ONLINE: 2020-06-21
DOI REFERENCE: https://doi.org/10.2298/TSCI2004535Y
CITATION EXPORT: view in browser or download as text file
THERMAL SCIENCE YEAR 2020, VOLUME 24, ISSUE 4, PAGES [2535 - 2542]
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© 2020 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