He’s fractal calculus and its application to fractal Korteweg-de Vries equation

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...

Full description

Bibliographic Details
Main Authors: Ma Xue-Si, Zhang Li-Na
Format: Article
Language:English
Published: VINCA Institute of Nuclear Sciences 2021-01-01
Series:Thermal Science
Subjects:
he’s fractal derivative
fractal korteweg-de vries equation
fractal space
variational iteration method
Online Access:http://www.doiserbia.nb.rs/img/doi/0354-9836/2021/0354-98362100100M.pdf
id doaj-db15a1ae160f47a29aec4f60dfb94947
record_format Article
spelling doaj-db15a1ae160f47a29aec4f60dfb949472021-05-27T13:12:06ZengVINCA Institute of Nuclear SciencesThermal Science0354-98362334-71632021-01-01253 Part B2149215410.2298/TSCI190916100M0354-98362100100MHe’s fractal calculus and its application to fractal Korteweg-de Vries equationMa Xue-Si0Zhang Li-Na1School of Mathematics and Information Science, Henan Polytechnic University, Jiaozuo, ChinaSchool of Computer Science and Technology, Henan Polytechnic University, Jiaozuo, ChinaHe’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.http://www.doiserbia.nb.rs/img/doi/0354-9836/2021/0354-98362100100M.pdfhe’s fractal derivativefractal korteweg-de vries equationfractal spacevariational iteration method
collection DOAJ
language English
format Article
sources DOAJ
author Ma Xue-Si
Zhang Li-Na
spellingShingle Ma Xue-Si
Zhang Li-Na
He’s fractal calculus and its application to fractal Korteweg-de Vries equation
Thermal Science
he’s fractal derivative
fractal korteweg-de vries equation
fractal space
variational iteration method
author_facet Ma Xue-Si
Zhang Li-Na
author_sort Ma Xue-Si
title He’s fractal calculus and its application to fractal Korteweg-de Vries equation
title_short He’s fractal calculus and its application to fractal Korteweg-de Vries equation
title_full He’s fractal calculus and its application to fractal Korteweg-de Vries equation
title_fullStr He’s fractal calculus and its application to fractal Korteweg-de Vries equation
title_full_unstemmed He’s fractal calculus and its application to fractal Korteweg-de Vries equation
title_sort he’s fractal calculus and its application to fractal korteweg-de vries equation
publisher VINCA Institute of Nuclear Sciences
series Thermal Science
issn 0354-9836
2334-7163
publishDate 2021-01-01
description 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.
topic he’s fractal derivative
fractal korteweg-de vries equation
fractal space
variational iteration method
url http://www.doiserbia.nb.rs/img/doi/0354-9836/2021/0354-98362100100M.pdf
work_keys_str_mv AT maxuesi hesfractalcalculusanditsapplicationtofractalkortewegdevriesequation
AT zhanglina hesfractalcalculusanditsapplicationtofractalkortewegdevriesequation
_version_ 1721425600743211008

Similar Items