Lyapunov functions and stability of Caputo fractional differential equations with delays
type: Item
instance of: scholarly article
title: Lyapunov functions and stability of Caputo fractional differential equations with delays
zbMATH Open document ID: 1503.34138
author: Ravi P. Agarwal
author: Donal O'Regan
author: Snezhana Hristova
published in: Differential Equations and Dynamical Systems
publication date: 2022-07-15T00:00:00Z
review text: The authors investigate nonlinear Caputo fractional differential equations with variable bounded delays. The direct Lyapunov method is extended and applied to the stability analysis of the considered fractional equations.
Mathematics Subject Classification ID: 34K37
Mathematics Subject Classification ID: 34K20
zbMATH DE Number: 7557472
zbMATH Keywords: Caputo fractional differential equations
zbMATH Keywords: Lyapunov functions
zbMATH Keywords: stability
zbMATH Keywords: fractional derivative of Lyapunov functions
MaRDI profile type: Publication
full work available at URL: s12591-018-0434-6
OpenAlex ID: W2897299137
cites work: Equilibrium points, stability and numerical solutions of fractional-order predator-prey and rabies models
cites work: Maximum principle for certain generalized time and space fractional diffusion equations
cites work: Lyapunov functions and strict stability of Caputo fractional differential equations
cites work: A survey of Lyapunov functions, stability and impulsive Caputo fractional differential equations
cites work: Stability of Caputo fractional differential equations by Lyapunov functions.
cites work: Practical stability with respect to initial time difference for Caputo fractional differential equations
cites work: Razumikhin stability theorem for fractional systems with delay
cites work: Q3114312
cites work: Razumikhin-type stability theorems for functional fractional-order differential systems and applications
cites work: Functional Fractional Calculus
cites work: Variational Lyapunov method for fractional differential equations
cites work: The analysis of fractional differential equations. An application-oriented exposition using differential operators of Caputo type
cites work: Chaos in the fractional order periodically forced complex Duffing's oscillators
cites work: Introduction to functional differential equations
cites work: Lyapunov stability theorem about fractional system without and with delay
cites work: Existence of solution for delay fractional differential equations
cites work: Q4229393
cites work: Q3119774
cites work: Theory of fractional functional differential equations
cites work: Q3646036
cites work: Q3408155
cites work: Stability of fractional-order nonlinear dynamic systems: Lyapunov direct method and generalized Mittag-Leffler stability
cites work: Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
cites work: Time-delay systems: an overview of some recent advances and open problems.
cites work: Lipschitz stability criteria for functional differential systems of fractional order
cites work: Stability analysis of fractional-order nonlinear systems with delay
cites work: Lyapunov method for nonlinear fractional differential systems with delay
Wikidata QID: Q129158383
DOI: 10.1007/S12591-018-0434-6
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description: scientific article