In this study, a new extension of the concept of the homotopy perturbation method is presented. Based on the proposed method, the nonlinear partial differential equations of fractional order that appeared in the applied chemistry are investigated. The fractional derivative is described in the Ji Huan He sense and the uniqueness of the solution and convergence of the proposed method is proved. Finally, some numerical examples are investigated. The obtained results are in good agreement with the existing ones in open literature and it is shown that the present method is very effective and accurate.

中文翻译：

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一种灵活的扩展同伦微扰方法及其在应用化学中的应用

在这项研究中，提出了同伦微扰方法概念的新扩展。基于所提出的方法，研究了应用化学中出现的分数阶非线性偏微分方程。分数阶导数在纪欢和意义上进行描述，证明了所提方法的解和收敛性的唯一性。最后，研究了一些数值例子。所得结果与公开文献中已有的结果吻合良好，表明该方法非常有效和准确。