THERMAL SCIENCE

International Scientific Journal

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 No. 3, PAGES [2149 - 2154]
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He’s fractal calculus and its application to fractal Korteweg-de Vries equation

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