【摘要】 具有状态依赖时滞的泛函微分方程是微分系统的重要内容。文章研究具有状态依赖时滞的Caputo分数阶中立型泛函微分方程的柯西问题。先利用Schaefer不动点定理及Gronwall不等式技巧得到该方程解的存在性，然后利用广义Winston单调时滞条件和反证法得到该方程解的唯一性结论，推广已有的结果。更多还原

【Abstract】 Functional differential equations with state-dependent delays is an important content of differential systems. A class of Caputo fractional functional differential equations of neutral type with state-dependent delay is studied. The existence of solution for this equation is first obtained by using Schaefer fixed point theorem and Gronwall inequality technique,then the uniqueness results of solution is obtained by using the generalized Winston monotone lag condition and reduction to absurdity,which extend the existing results.更多还原