Combination of Shehu decomposition and variational iteration transform methods for solving fractional third order dispersive partial differential equations

2021 ◽  
Author(s):  
Yu‐Ming Chu ◽  
Ehab Hussein Bani Hani ◽  
Essam R. El‐Zahar ◽  
Abdelhalim Ebaid ◽  
Nehad Ali Shah
Keyword(s):  
Partial Differential Equations ◽  
Differential Equations ◽  
Third Order ◽  
Partial Differential ◽  
Transform Methods ◽  
Variational Iteration

scholarly journals Solitary and compacton solutions of fractional KdV-like equations

Open Physics ◽  
2016 ◽  
Vol 14 (1) ◽  
pp. 328-336 ◽  
Author(s):  
Bo Tang ◽  
Yingzhe Fan ◽  
Jianping Zhao ◽  
Xuemin Wang
Keyword(s):  
Partial Differential Equations ◽  
Differential Equations ◽  
Iteration Method ◽  
Variational Iteration Method ◽  
Fractional Partial Differential Equations ◽  
Partial Differential ◽  
Reliable Tool ◽  
Variational Iteration ◽  
He’S Polynomials ◽  
Liouville Derivative

AbstractIn this paper, based on Jumarie’s modified Riemann-Liouville derivative, we apply the fractional variational iteration method using He’s polynomials to obtain solitary and compacton solutions of fractional KdV-like equations. The results show that the proposed method provides a very effective and reliable tool for solving fractional KdV-like equations, and the method can also be extended to many other fractional partial differential equations.

Sign in / Sign up

Export Citation Format

Share Document