## 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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