New exact solution for space-time fractional differential equations via (G′/G)-expansion method

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• 作者：Ozkan Guner^a ; ^{ozkanguner@karatekin.edu.tr} ; Hasan Atik^b ; ^{hasan.atik@medeniyet.edu.tr} ; Alzhanov Aytugan Kayyrzhanovich^c ; ^{alzhanov_ak@enu.kz}
• 关键词：Exact solution ; (G&prime ; /G)-expansion method ; Fractional DR equation ; Fractional approximate long water wave equation
• 刊名：Optik - International Journal for Light and Electron Optics
• 出版年：2017
• 出版时间：February 2017
• 年：2017
• 卷：130
• 期：Complete
• 页码：696-701
• 全文大小：410 K
• 卷排序：130

文摘

In this work, new exact solutions for nonlinear fractional DR equation and fractional approximate long water wave equation are obtained within the modified Riemann–Liouville derivative. These solutions can be useful to explain some physical phenomena. We use the (G′/G)-expansion method to establish the exact solutions for above mentioned equations. We report that this method is efficient and it is applicable to other fractional differential equations.