Exact solutions for nonlinear partial fractional differential equations
Exact solutions for nonlinear partial fractional differential equations作者机构:Mathematics DepartmentFaculty of ScienceZagazig University Mathematics DepartmentFaculty of ScienceTaif University Mathematics DepartmentFaculty of scienceSouth Valley University
出 版 物:《Chinese Physics B》 (中国物理B(英文版))
年 卷 期:2012年第21卷第11期
页 面:32-38页
核心收录:
学科分类:07[理学] 0805[工学-材料科学与工程(可授工学、理学学位)] 070102[理学-计算数学] 0704[理学-天文学] 0701[理学-数学]
主 题:fractional calculus complex transformation modified Riemann-Liouville derivative im- proved (G′/G)-expansion function method
摘 要:′In this article, we use the fractional complex transformation to convert nonlinear partial fractional differential equations to nonlinear ordinary differential equations. We use the improved (G′/G)-expansion function method to calculate the exact solutions to the time- and space-fractional derivative foam drainage equation and the time- and space-fractional derivative nonlinear KdV equation. This method is efficient and powerful for solving wide classes of nonlinear evolution fractional order equations.