Existence and Finite Time Stability of Nonlinear Riemann-Liouville Fractional Delay Differential Equations
Received:March 08, 2023  Revised:November 15, 2023
Key Words: fractional oscillatory differential equations   delay differential equation   finite time stability  
Fund Project:Supported by the National Natural Science Foundation of China (Grant No.11871064).
Author NameAffiliation
Renjie PAN School of Mathematical Sciences, Yangzhou University, Jiangsu 225002, P. R. China 
Xiaocheng HU School of Mathematical Sciences, Yangzhou University, Jiangsu 225002, P. R. China 
Zhenbin FAN 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 $1<\varrho<2$ 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.
Citation:
DOI:10.3770/j.issn:2095-2651.2024.02.009
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