In this paper, we use the local fractional variational iteration transform method LFVITM to solve a class of linear and nonlinear partial differential equations (PDEs), as well as a system of PDEs which are involving local fractional differential operators (LFDOs). The technique combines the variational iteration transform approach and the Yang–Laplace transform. To show how effective and precise the LFVITM four examples are given.

中文翻译：

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局部分数阶变分迭代变换法：求解局部分数阶偏微分方程的工具

在本文中，我们使用局部分数变分迭代变换方法LFVITM来求解一类线性和非线性偏微分方程（PDE），以及涉及局部分数微分算子（LFDO）的PDE系统。该技术结合了变分迭代变换方法和杨-拉普拉斯变换。为了展示 LFVITM 的有效性和精确性，给出了四个示例。