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    Stability of caputo fractional differential equations by lyapunov functions

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    Date
    2015-12-01
    Author
    Agarwal, Ravi
    O’Regan, Donal
    Hristova, Snezhana
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    Cited 47 times in Scopus (view citations)
    
    Recommended Citation
    Agarwal, Ravi; O’Regan, Donal; Hristova, Snezhana (2015). Stability of caputo fractional differential equations by lyapunov functions. Applications of Mathematics 60 (6), 653-676
    Published Version
    http://dml.cz/bitstream/handle/10338.dmlcz/144452/AplMat_60-2015-6_4.pdf
    Abstract
    The stability of the zero solution 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 equation. Comparison results using this definition for scalar fractional differential equations are presented. Several sufficient conditions for stability, uniform stability and asymptotic uniform stability, based on the new definition of the derivative of Lyapunov functions and the new comparison result, are established.
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    http://hdl.handle.net/10379/10137
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