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Practical stability of caputo fractional differential equations by lyapunov functions

Agarwal, Ravi P.
; 
Hristova, Snezhana G.
; 
'Regan, Donal
Identifiers
http://hdl.handle.net/10379/10132
https://doi.org/10.13025/25138
Repository DOI
10.7153/dea-08-04
Publication Date
2016-01-01
Keywords
practical stability, strongly practical stability, lyapunov functions, caputo derivatives, fractional differential equations, order systems, delay
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Article
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Agarwal, Ravi P. Hristova, Snezhana G.; 'Regan, Donal (2016). Practical stability of caputo fractional differential equations by lyapunov functions. Differential Equations & Applications 8 (1), 53-68
Abstract
The practical stability of a nonlinear nonautonomous Caputo fractional differential equation is studied using Lyapunov like functions. The novelty of this paper is based on the new definition of the derivative of a Lyapunov like function along the given fractional differential equation. Comparison results using this definition for scalar fractional differential equations are presented. Several sufficient conditions for practical stability, practical quasi stability, strongly practical stability of the zero solution and the corresponding uniform types of practical stability are established.
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Attribution-NonCommercial-NoDerivs 3.0 Ireland
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Externally hosted open access publications with University of Galway authors (2)