In this paper, we first propose a method, which is originated from coupling local fractional Yang–Laplace transform with the Daftardar–Gejji–Jafaris method (LFYLTDGJM). The proposed method is successfully applied to solve the local time fractional nonlinear modified Korteweg–de Vries (TFNMKDV) equation. The approximate solution presented here illustrates the efficiency and accuracy of the proposed computational technique to solve fractional nonlinear the partial differential equations involving local fractional operators.

中文翻译：

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局部分数算子内时间分数阶非线性MKDV方程的近似解

在本文中，我们首先提出了一种方法，该方法源于局部分数阶 Yang-Laplace 变换与 Daftardar-Gejji-Jafaris 方法（LFYLTDGJM）的耦合。所提出的方法成功应用于求解局域分数非线性修正 Korteweg-de Vries (TFNMKDV) 方程。这里提出的近似解说明了所提出的计算技术在求解涉及局部分数算子的分数非线性偏微分方程时的效率和准确性。