In present note, we apply the Leibniz formula with the nabla operator in discrete fractional calculus (DFC) due to obtain the discrete fractional solutions of a class of associated Bessel equations (ABEs) and a class of associated Legendre equations (ALEs), respectively. Thus, we exhibit a new solution method for such second order linear ordinary differential equations with singular points.

中文翻译：

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两个带奇异点的微分方程的离散分数形式的解

在本笔记中，我们将莱布尼茨公式与离散分数阶微积分 (DFC) 中的 nabla 算子一起应用，以分别获得一类关联贝塞尔方程 (ABE) 和一类关联勒让德方程 (ALE) 的离散分数解。因此，我们展示了这种具有奇异点的二阶线性常微分方程的新求解方法。