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

作　　者：王奇[1] WANG Qi(School of Mathematical Sciences,Anhui University,Hefei 230601,China)

机构地区：[1]安徽大学数学科学学院,安徽合肥230601

出　　处：《安徽大学学报（自然科学版）》2024年第6期9-13,共5页Journal of Anhui University(Natural Science Edition)

摘　　要：Riemann-Liouville(R-L)分数阶中立型泛函微分方程是分数阶微分系统的重要研究内容.研究R-L分数阶中立型泛函微分方程解的存在性和渐近稳定性问题,利用压缩映射原理和带权的范数给出解的存在性结论,综合利用零方程技巧、变换和线性矩阵不等式得到渐近稳定性判据,推广了已有的结果.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-equationtechnique,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 

分 类 号：O175.12[理学—数学]