THERMAL SCIENCE

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Xue-Si Ma

,

Li-Na Zhang

HE’S FRACTAL CALCULUS AND ITS APPLICATION TO FRACTAL KORTEWEG-DE VRIES EQUATION

ABSTRACT
He’s fractal calculus is a powerful and effective tool to dealing with natural phenomena in a fractal space. In this paper, we study the fractal Korteweg-de Vries equation with He’s fractal derivative. We first adopt the two-scale transform method to convert the fractal Korteweg-de Vries equation into its traditional partner in a continuous space. Finally, we successfully use He’s variational iteration method to obtain its approximate analytical solution.
KEYWORDS
He’s fractal derivative, Fractal Kdv equation, fractal space, variational iteration method
PAPER SUBMITTED: 2019-09-16
PAPER REVISED: 2020-07-01
PAPER ACCEPTED: 2020-07-01
PUBLISHED ONLINE: 2021-03-27
DOI REFERENCE: https://doi.org/10.2298/TSCI190916100M
CITATION EXPORT: view in browser or download as text file
THERMAL SCIENCE YEAR 2021, VOLUME 25, ISSUE Issue 3, PAGES [2149 - 2154]
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He’s fractal calculus and its application to fractal Korteweg-de Vries equation

© 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