Stability of Nonlinear Fractional Neutral Differential Difference Systems | Zendy

Liu Ke-wei | Zendy; Jiang Wei | Zendy

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Stability of Nonlinear Fractional Neutral Differential Difference Systems

Author(s) -

Liu Ke-wei,

Jiang Wei

Publication year - 2014

Publication title -

discrete dynamics in nature and society

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.264

H-Index - 39

eISSN - 1607-887X

pISSN - 1026-0226

DOI - 10.1155/2014/514631

Subject(s) - nonlinear system , mathematics , stability (learning theory) , fractional calculus , differential (mechanical device) , instability , class (philosophy) , control theory (sociology) , mathematical analysis , physics , computer science , thermodynamics , mechanics , control (management) , quantum mechanics , machine learning , artificial intelligence

We study the stability of a class of nonlinear fractional neutral differential difference systems equipped with the Caputo derivative. We extend Lyapunov-Krasovskii theorem for the nonlinear fractional neutral systems. Conditions of stability and instability are obtained for the nonlinear fractional neutral systems

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