ABSTRACT In this paper, we analyse a new hybrid system of nonlinear impulsive conformable fractional differential equations equipped with Dirichlet boundary conditions. Existence results for the given system are obtained by applying the modern tools of functional analysis. Examples are constructed for the illustration of the obtained results. In the given configuration, our results are new and contribute significantly to the related literature.

中文翻译：

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带边界条件的可整合分数阶微分方程的脉冲混合系统

摘要 在本文中，我们分析了一种新的非线性脉冲可整合分数阶微分方程的混合系统，该方程配备了狄利克雷边界条件。给定系统的存在结果是通过应用现代功能分析工具获得的。构建示例用于说明所获得的结果。在给定的配置中，我们的结果是新的，并且对相关文献做出了重大贡献。