Stability Concepts of Riemann-Liouville Fractional-Order Delay Nonlinear Systems

Stability Concepts of Riemann-Liouville Fractional-Order Delay Nonlinear Systems

First, we set up in an appropriate way the initial value problem for nonlinear delay differential equations with a Riemann-Liouville (RL) fractional derivative. We define stability in time and generalize Mittag-Leffler stability for RL fractional differential equations and we study stability propert...

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Bibliographic Details
Main Authors: Ravi Agarwal, Snezhana Hristova, Donal O’Regan
Format: Article
Language:English
Published: MDPI AG 2021-02-01
Series:Mathematics
Subjects:
Riemann-Liouville fractional derivative
time-varying delay
stability
Lyapunov functions
fractional derivatives of Lyapunov functions
Razumikhin method
Online Access:https://www.mdpi.com/2227-7390/9/4/435

Internet

https://www.mdpi.com/2227-7390/9/4/435

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