In this manuscript, the existence theorem for a unique solution to a coupled system of impulsive fractional differential equations in complex-valued fuzzy metric spaces is studied and the fuzzy version of some fixed point results by using the definition and properties of a complex-valued fuzzy metric space is presented. Ultimately, some appropriate examples are constructed to illustrate our theoretical results.

中文翻译：

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复数值模糊度量空间中脉冲分数阶微分方程耦合系统唯一解的存在性定理

在这份手稿中，研究了复值模糊度量空间中脉冲分数阶微分方程组耦合系统的唯一解的存在性定理，并利用复值模糊的定义和性质得出了一些不动点的模糊形式。度量空间被呈现。最终，构建了一些适当的例子来说明我们的理论结果。