In this article, we introduce a generalized g-Laplace transform and discuss some essential results of integral transform theory, in particular, involving a \(\psi \)-Hilfer pseudo-fractional derivative and function convolution. In this sense, we investigated the existence and uniqueness of known solutions for a pseudo-fractional differential equation.

中文翻译：

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伪分数阶微分方程和广义 g-Laplace 变换

在本文中，我们介绍了广义g -Laplace 变换并讨论了积分变换理论的一些基本结果，特别是涉及\(\psi \) -Hilfer 伪分数阶导数和函数卷积。在这个意义上，我们研究了伪分数阶微分方程已知解的存在性和唯一性。