Thermal Science

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Yong-Ju Yang

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

local fractional derivative, residual method

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 No. 4, PAGES [2535 - 2542]

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The fractional residual method for solving the local fractional differential equations

© 2026 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