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状态依赖时滞Caputo分数阶泛函微分方程的可解性
On Caputo Fractional Functional Differential Equations with State-dependent Delay
【摘要】 考虑状态依赖时滞Caputo分数阶泛函微分方程解的存在唯一性。首先利用Schaefer不动点定理及Gronwall不等式得到方程解的存在性；然后利用适用于分数阶微积分的广义Winston单调滞后条件得到解的唯一性，推广了已有的结果。
【Abstract】 The existence and uniqueness of solutions for Caputo fractional functional differential equations with state-dependent delay is considered.The existence of the solution is obtained by using Schaefer fixed point theorem and Gronwall inequality, then the uniqueness of the solution is obtained by using the generalized Winston monotone lag condition that is suitable for fractional differential equation, which extends the existing results.
【关键词】 状态依赖时滞；
Caputo分数阶泛函微分方程；
Schaefer不动点定理；
Gronwal不等式；
广义Winston单调滞后条件；
【Key words】 state-dependent delay； Caputo fractional functional differential equations； Schaefer fixed point theorem； Gronwall inequality； generalized Winston monotone lag condition；
【Key words】 state-dependent delay； Caputo fractional functional differential equations； Schaefer fixed point theorem； Gronwall inequality； generalized Winston monotone lag condition；
【基金】 安徽省教育厅自然科学基金重点项目(KJ2018A0027)
- 【文献出处】 滨州学院学报 ,Journal of Binzhou University , 编辑部邮箱 ,2023年04期
- 【分类号】O175
- 【下载频次】5