In this paper, we introduce a new integral transform, namely Aboodh transform, and we apply the transform to investigate the Hyers–Ulam stability, Hyers–Ulam–Rassias stability, Mittag-Leffler–Hyers–Ulam stability, and Mittag-Leffler–Hyers–Ulam–Rassias stability of second order linear differential equations.

中文翻译：

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Aboodh 变换与二阶线性微分方程的稳定性

在本文中，我们引入了一种新的积分变换，即 Aboodh 变换，并应用该变换来研究 Hyers-Ulam 稳定性、Hyers-Ulam-Rassias 稳定性、Mittag-Leffler-Hyers-Ulam 稳定性和 Mittag-Leffler-Hyers -Ulam-Rassias 二阶线性微分方程的稳定性。