The newly constructed optimal perturbation iteration procedure with Laplace transform is applied to obtain the new approximate semi-analytical solutions of the fractional type of damped Burgers’ equation. The classical damped Burgers’ equation is remodeled to fractional differential form via the Atangana–Baleanu fractional derivatives described with the help of the Mittag–Leffler function. To display the efficiency of the proposed optimal perturbation iteration technique, an extended example is deeply analyzed.

中文翻译：

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求解阻尼伯格斯方程分数模型的最优微扰迭代法

应用新构造的带有拉普拉斯变换的最优扰动迭代程序来获得分数型阻尼伯格斯方程的新近似半解析解。通过在 Mittag-Leffler 函数的帮助下描述的 Atangana-Baleanu 分数阶导数，经典阻尼 Burgers 方程被改造成分数阶微分形式。为了显示所提出的最优扰动迭代技术的效率，深入分析了一个扩展示例。