In this paper, we study a discrete subdiffusion equation with memory. Based on the backward operator and the theory of fractional resolvent families, we find a discrete fractional resolvent sequence which allows to write the solution to this discrete subdiffusion equation as a variation of constant formula.

中文翻译：

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带记忆的离散扩散方程

在本文中，我们研究了带有记忆的离散扩散方程。基于后向算子和分数分解物族的理论，我们找到了一个离散的分数分解物序列，该序列允许将这个离散子扩散方程的解写为常数公式的一个变体。