中立型Caputo分数阶泛函微分方程解的存在性和Hyers-Ulam稳定性
Existence and Hyers-Ulam Stability of Neutral Caputo Fractional Functional Differential Equations
王奇 1邓茜茜 1解晨曦 1胡玉婷2
作者信息
- 1. 安徽大学数学科学学院
- 2. 安徽大学大数据与统计学院,安徽 合肥 230601
- 折叠
摘要
考虑具有无穷时滞和多个Caputo分数阶导数的中立型分数阶泛函微分方程解的存在性和Hyers-Ulam稳定性.利用压缩映射原理及无穷时滞的相空间理论得到方程解的存在性,并利用分数阶微积分的广义Gronwal型不等式及分数阶积分算子的单调性得到解的Hyers-Ulam 稳定性.
Abstract
The existence and Hyers-Ulam stability of neutral fractional functional differential equa-tion with infinite delay and multiple Caputo fractional derivatives are studied.Firstly,the existence of so-lutions is obtained by using the contraction mapping principle and the phase space theory on infinite de-lay.Then the Hyers-Ulam stability of solution is obtained by using the generalized Gronwall inequality and the monotonicity of the fractional integral operator.
关键词
Caputo分数阶泛函微分方程/压缩映射原理/Gronwall不等式/Hyers-Ulam稳定性Key words
Caputo fractional functional differential equations/contraction mapping principle/Gron-wall inequality/Hyers-Ulam stability引用本文复制引用
出版年
2024
NETL
NSTL
万方数据