Abstract In this paper, we establish sufficient criteria for the existence of solutions for a new kind of nonlinear Langevin equation involving conformable differential operators of different orders and equipped with integral boundary conditions. We apply the modern tools of functional analysis to derive the desired results for the problem at hand. Examples are constructed for the illustration of the obtained results.

中文翻译：

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符合可合微分算子的朗之万方程

摘要 在本文中，我们建立了一种新的非线性Langevin 方程解存在性的充分准则，该方程包含不同阶的一致微分算子并配备有积分边界条件。我们应用现代功能分析工具来为手头的问题得出所需的结果。构建示例用于说明所获得的结果。