In this paper, fractional nonlinear-coupled evolution equations and fractional the dimensionless wave equation are proposed and discussed. An efficient algorithm, the q-homotopy analysis transform method, was used to solve such problems. The algorithm used gives an approximate solution in the form of a convergent series, which is somewhat similar to the exact solution while reducing the difficulty of many other approaches. The uniqueness theorem of the expected problem is discussed. The normal frequency of the fractional solution to this problem varies according to the difference of the fractional derivative.

中文翻译：

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研究一些分数演化方程的另一种方法

本文提出并讨论了分数阶非线性耦合演化方程和分数阶无量纲波动方程。一种有效的算法，即q-同伦分析变换方法，被用于解决此类问题。所使用的算法以收敛级数的形式给出了近似解，与精确解有些相似，同时降低了许多其他方法的难度。讨论了期望问题的唯一性定理。这个问题的分数解法的频率随着分数阶导数的不同而变化。