The aim of this study is to develop a transform method for discrete calculus. We define the double Laplace transforms in a discrete setting and discuss its existence and uniqueness with some of its important properties. The delta double Laplace transforms have been presented for integer and noninteger order partial differences. For illustration, the delta double Laplace transforms are applied to solve partial difference equation.

中文翻译：

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离散时间尺度上的Delta偏差分方程的变换方法

这项研究的目的是为离散演算开发一种变换方法。我们在离散的环境中定义双重Laplace变换，并讨论其存在性和唯一性及其一些重要属性。已经针对整数和非整数阶的局部差异提出了增量双Laplace变换。为了说明，将三角洲双Laplace变换应用于求解偏差分方程。