数学研究及应用2024，Vol.44Issue(2) ：225-238.DOI:10.3770/j.issn:2095-2651.2024.02.009

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

Renjie PAN Xiaocheng HU Zhenbin FAN
数学研究及应用2024，Vol.44Issue(2) ：225-238.DOI:10.3770/j.issn:2095-2651.2024.02.009
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Existence and Finite Time Stability of Nonlinear Riemann-Liouville Fractional Delay Differential Equations

Renjie PAN 1Xiaocheng HU 1Zhenbin FAN1
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作者信息

  • 1. School of Mathematical Sciences,Yangzhou University,Jiangsu 225002,P.R.China
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Abstract

This article explores the existence results and finite time stability of nonlinear Riemann-Liouville fractional oscillatory differential equations of order 1＜(e)＜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.

Key words

fractional oscillatory differential equations/delay differential equation/finite time stability

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基金项目

National Natural Science Foundation of China(11871064)

出版年

2024
数学研究及应用
大连理工大学

数学研究及应用

CSCD
影响因子：0.094
ISSN：2095-2651
参考文献量27
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