Asymptotical stability of nonlinear fractional differential system with Caputo derivative
type: Item
instance of: scholarly article
title: Asymptotical stability of nonlinear fractional differential system with Caputo derivative
zbMATH Open document ID: 1239.34008
DOI: 10.1155/2011/635165
author: Feng Rong Zhang
author: Changpin Li
author: Yangquan Chen
published in: International Journal of Differential Equations
publication date: 2012-03-08T00:00:00Z
review text: Summary: This paper deals with the stability of nonlinear fractional differential systems equipped with the Caputo derivative. At first, a sufficient condition for asymptotical stability is established by using a Lyapunov-like function. Then, fractional differential inequalities and comparison method are applied to the analysis of the stability of fractional differential systems.
Mathematics Subject Classification ID: 34A08
Mathematics Subject Classification ID: 34D20
zbMATH DE Number: 6013212
zbMATH Keywords: Lyapunov-like function
zbMATH Keywords: fractional differential inequalities
zbMATH Keywords: comparison method
Wikidata QID: Q58686820
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2011/635165
OpenAlex ID: W2085560684
cites work: Applications of Fractional Calculus to the Theory of Viscoelasticity
cites work: Recent history of fractional calculus
cites work: ANALYSIS OF FRACTIONAL DIFFERENTIAL EQUATIONS WITH MULTI-ORDERS
cites work: Stability analysis of linear fractional differential system with multiple time delays
cites work: LMI Characterization of Fractional Systems Stability
cites work: Stability analysis of fractional differential system with Riemann-Liouville derivative
cites work: On the stability of linear systems with fractional-order elements
cites work: LMI stability conditions for fractional order systems
cites work: A note on the stability of fractional order systems
cites work: Analysis of a system of fractional differential equations
cites work: Analysis of fractional differential equations
cites work: Mittag-Leffler stability of fractional order nonlinear dynamic systems
cites work: Stability of fractional-order nonlinear dynamic systems: Lyapunov direct method and generalized Mittag-Leffler stability
cites work: Fractional integral inequalities and applications
cites work: Q3408155
cites work: The completely monotonic character of the Mittag-Leffler function 𝐸ₐ(-𝑥)
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: A note on the complete monotonicity of the generalized Mittag-Leffler function
cites work: Completely monotone generalized Mittag-Leffler functions
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description: scientific article; zbMATH DE number 6013212