Over the last few years, a direct method known as the new auxiliary method has been shown to solve non-linear partial differential equations effectively where this method can give more exact solutions compared to the traditional direct methods. Due to these promising results, efforts are now being made to extend this method in solving the more complicated non-linear fractional partial differential equations. The new auxiliary method is a very powerful, felicitous, and effective method to get exact and traveling wave solutions of partial differential equations. Therefore, we apply the new auxiliary method to solve for the traveling wave solutions of the space-time fractional Cahn-Hilliard equation and the space-time fractional symmetric regularized long-wave equation. Furthermore, it is considered as more general method for solving that time of equations because it is shown that more exact solutions for the traveling wave on these equations will be obtained with the application of the new auxiliary method.

在过去的几年中，已经证明一种称为新辅助方法的直接方法可以有效地解决非线性偏微分方程，与传统的直接方法相比，该方法可以提供更精确的解决方案。由于这些有希望的结果，现在正在努力扩展该方法，以解决更复杂的非线性分数阶偏微分方程。新的辅助方法是获得偏微分方程的精确和行波解的一种非常有效，有效的方法。因此，我们采用新的辅助方法来求解时空分数Cahn-Hilliard方程和时空分数对称正则长波方程的行波解。此外，