TY - JOUR
TI - He’s fractal calculus and its application to fractal Korteweg-de Vries equation
AU - Ma Xue-Si
AU - Zhang Li-Na
JN - Thermal Science
PY - 2021
VL - 25
IS - 3
SP - 2149
EP - 2154
PT - Article
AB - 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.