Asymptotical Stability of Nonlinear Fractional Differential System with Caputo Derivative | Zendy

Fengrong Zhang | Zendy; Changpin Li | Zendy; YangQuan Chen | Zendy

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Asymptotical Stability of Nonlinear Fractional Differential System with Caputo Derivative

Author(s) -

Fengrong Zhang,

Changpin Li,

YangQuan Chen

Publication year - 2011

Publication title -

international journal of differential equations

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.324

H-Index - 20

eISSN - 1687-9651

pISSN - 1687-9643

DOI - 10.1155/2011/635165

Subject(s) - mathematics , stability (learning theory) , fractional calculus , nonlinear system , lyapunov function , differential (mechanical device) , derivative (finance) , mathematical analysis , control theory (sociology) , computer science , physics , control (management) , quantum mechanics , machine learning , artificial intelligence , financial economics , engineering , economics , aerospace engineering

This paper deals with the stability of nonlinear fractional differential systems equipped with the Caputo derivative. At first, a sufficient condition on asymptotical stability is established by using a Lyapunov-like function. Then, the fractional differential inequalities and comparison method are applied to the analysis of the stability of fractional differential systems. In addition, some other sufficient conditions on stability are also presented

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