He’s fractal calculus and its application to fractal Korteweg-de Vries equation
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 in...
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
VINCA Institute of Nuclear Sciences
2021-01-01
|
| Series: | Thermal Science |
| Subjects: | |
| Online Access: | http://www.doiserbia.nb.rs/img/doi/0354-9836/2021/0354-98362100100M.pdf |
| Summary: | 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. |
|---|---|
| ISSN: | 0354-9836 2334-7163 |