New exact solution for space-time fractional differential equations via (G′/G)-expansion method
New exact solution for space-time fractional differential equations via (G′/G)-expansion method
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DOI：
10.1016/j.ijleo.2016.10.116
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发表时间：
2017-02
期刊：
影响因子：
3.1
通讯作者：
Ozkan Guner;H. Ati̇k;Alzhanov Aytugan Kayyrzhanovich
中科院分区：
文献类型：
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作者：
Ozkan Guner;H. Ati̇k;Alzhanov Aytugan Kayyrzhanovich
本文在修正的Riemann-Liouville导数下，得到了非线性分数阶DR方程和分数阶近似长水波方程的新的精确解。这些解可以用来解释一些物理现象。我们用（G′/G）-展开法求出了上述方程的精确解.我们报告说，这种方法是有效的，它是适用于其他分数阶微分方程。
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.