Exact Solution to Nonlinear Differential Equations of Fractional Order via (<i>G’</i>/<i>G</i>)-Expansion Method

• 作者: Asim Zafar Muhammad Younis
• 来源期刊: 应用数学(英文)
• 学科: 数学
• 关键词: EXACT Solution to Nonlinear Differential Equations of Fractional Order VIA (G’/G)-Expansion Method
• 年，卷（期）: 2014,（1）
• 页码范围: 1-6
• 页数: 6页
• 分类号: O1

摘要

In this article, a new application to find the exact solutions of nonlinear partial time-space fractional differential Equation has been discussed. Firstly, the fractional complex transformation has been implemented to convert nonlinear partial fractional differential Equations into nonlinear ordinary differential Equations. Afterwards, the (G'/G)-expansion method has been implemented, to celebrate the exact solutions of these Equations, in the sense of modified Riemann-Liouville derivative. As application, the exact solutions of time-space fractional Burgers’ Equation have been discussed.