THERMAL SCIENCE
International Scientific Journal
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
PAPER SUBMITTED: 2019-09-16
PAPER REVISED: 2020-07-01
PAPER ACCEPTED: 2020-07-01
PUBLISHED ONLINE: 2021-03-27
THERMAL SCIENCE YEAR
2021, VOLUME
25, ISSUE
Issue 3, PAGES [2149 - 2154]
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