Existence and Finite Time Stability of Nonlinear Riemann-Liouville Fractional Delay Differential Equations  

作　　者：Renjie PAN Xiaocheng HU Zhenbin FAN 

机构地区：[1]School of Mathematical Sciences,Yangzhou University,Jiangsu 225002,P.R.China

出　　处：《Journal of Mathematical Research with Applications》2024年第2期225-238,共14页数学研究及应用（英文版）

基　　金：Supported by the National Natural Science Foundation of China(Grant No.11871064).

摘　　要：This article explores the existence results and finite time stability of nonlinear Riemann-Liouville fractional oscillatory differential equations of order 1<■<2 with pure delay.The approaches we adopted to explore the existence results are fixed point theorems.What’s more,based on some important inequalities,we explore the finite time stability of the system.In the end,the rationality of our conclusion is verified by a case.

关 键 词：fractional oscillatory differential equations delay differential equation finite time stability 

分 类 号：O175[理学—数学]