中国物理B ›› 2012, Vol. 21 ›› Issue (11): 110204-110204.doi: 10.1088/1674-1056/21/11/110204

• GENERAL • 上一篇    下一篇

Exact solutions for nonlinear partial fractional differential equations

Khaled A. Gepreela b, Saleh Omranb c   

  1. a Mathematics Department, Faculty of Science, Zagazig University, Egypt;
    b Mathematics Department, Faculty of Science, Taif University, Saudi Arabia;
    c Mathematics Department, Faculty of science, South Valley University, Egypt
  • 收稿日期:2012-02-11 修回日期:2012-05-17 出版日期:2012-10-01 发布日期:2012-10-01

Exact solutions for nonlinear partial fractional differential equations

Khaled A. Gepreela b, Saleh Omranb c   

  1. a Mathematics Department, Faculty of Science, Zagazig University, Egypt;
    b Mathematics Department, Faculty of Science, Taif University, Saudi Arabia;
    c Mathematics Department, Faculty of science, South Valley University, Egypt
  • Received:2012-02-11 Revised:2012-05-17 Online:2012-10-01 Published:2012-10-01
  • Contact: Khaled A. Gepreel E-mail:kagepreel@yahoo.com

摘要: In this article, we use the fractional complex transformation to convert the nonlinear partial fractional differential equations to the nonlinear ordinary differential equations. We use the improved (G'/G)-expansion function method to calculate the exact solutions for the time and space fractional derivatives Foam Drainage equation and the time and space fractional derivatives nonlinear KdV equation. This method is efficient and powerful in solving wide classes of nonlinear evolution fractional order equations.

关键词: fractional calculus, complex transformation, modified Riemann-Liouville derivative, improved (G'/G)-expansion function method

Abstract: In this article, we use the fractional complex transformation to convert the nonlinear partial fractional differential equations to the nonlinear ordinary differential equations. We use the improved (G'/G)-expansion function method to calculate the exact solutions for the time and space fractional derivatives Foam Drainage equation and the time and space fractional derivatives nonlinear KdV equation. This method is efficient and powerful in solving wide classes of nonlinear evolution fractional order equations.

Key words: fractional calculus, complex transformation, modified Riemann-Liouville derivative, improved (G'/G)-expansion function method

中图分类号:  (Partial differential equations)

  • 02.30.Jr