In this paper, we investigate solutions of telegraph, Laplace and wave equations within the local fractional derivative operator by using local fractional Sumudu decomposition method. This method is coupled by the Sumudu transform and decomposition method. The method in general is easy to implement and yields good results. Illustrative examples are included to demonstrate the validity and applicability of the presented method.

中文翻译：

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求解数学物理中分形偏微分方程的局部分数阶Sumudu分解法

在本文中，我们使用局部分数阶Sumudu 分解方法研究了局部分数阶导数算子内的电报方程、拉普拉斯方程和波动方程的解。该方法与Sumudu变换和分解方法耦合。总体而言，该方法易于实施且效果良好。包括说明性例子来证明所提出方法的有效性和适用性。