On the Stability of Some Discrete Fractional Nonautonomous Systems | Zendy

Fahd Jarad | Zendy; Thabet Abdeljawad | Zendy; Dumitru Băleanu | Zendy; Kübra Biçen | Zendy

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On the Stability of Some Discrete Fractional Nonautonomous Systems

Author(s) -

Fahd Jarad,

Thabet Abdeljawad,

Dumitru Băleanu,

Kübra Biçen

Publication year - 2012

Publication title -

abstract and applied analysis

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.228

H-Index - 56

eISSN - 1687-0409

pISSN - 1085-3375

DOI - 10.1155/2012/476581

Subject(s) - mathematics , stability (learning theory) , lyapunov function , exponential stability , mathematical analysis , control theory (sociology) , nonlinear system , physics , control (management) , management , quantum mechanics , machine learning , computer science , economics

Using the Lyapunov direct method, the stability ofdiscrete nonautonomous systems within the frame of the Caputo fractionaldifference is studied. The conditions for uniform stability, uniformasymptotic stability, and uniform global stability are discussed

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