安徽大学学报（自然科学版）2024，Vol.48Issue(6)：9-13,5.DOI:10.3969/j.issn.1000-2162.2024.06.002
Riemann-Liouville分数阶中立型泛函微分方程解的存在性和渐近稳定性
Existence and asymptotic stability of Riemann-Liouville fractional neutral functional differential equation
王奇1
作者信息
- 1. 安徽大学数学科学学院,安徽 合肥 230601
- 折叠
摘要
Abstract
Riemann-Liouville(R-L)fractional neutral functional differential equation is an important part of fractional differential systems.The existence and asymptotic stability of solutions for R-L fractional neutral functional differential equation was studied.Firstly,using Banach contraction mapping principle and a weighted norm,the existence of solution for this equation was obtained.Secondly,by using the zero-equation technique,transformations and linear matrix inequality,new criteria for the asymptotic stability were obtained,which generalized the known results.关键词
R-L分数阶中立型泛函微分方程/时滞/存在性/渐近稳定性/压缩映射原理Key words
R-L fractional functional differential equation/delay/existence/asymptotic stability/Banach contracti on mapping principle分类
数理科学引用本文复制引用
王奇..Riemann-Liouville分数阶中立型泛函微分方程解的存在性和渐近稳定性[J].安徽大学学报（自然科学版）,2024,48(6):9-13,5.
