The present article focuses on how to find the exact solutions of the time-fractional regular and singular coupled Burgers’ equations by applying a new method that is called triple Laplace and Adomian decomposition method. Furthermore, the proposed method is a strong tool for solving many problems. The accuracy of the method is considered through the use of some examples, and the results obtained are compared with those of the existing methods in the literature.

中文翻译：

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关于奇异二维分数耦合Burgers方程和三重Laplace Adomian分解方法的一个注记

本文重点介绍如何通过应用称为三重Laplace和Adomian分解方法的新方法来找到时间分数阶正则和奇异耦合Burgers方程的精确解。此外，所提出的方法是解决许多问题的有力工具。通过使用一些示例来考虑该方法的准确性，并将获得的结果与文献中现有方法的结果进行比较。