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On the Stability of Some Discrete Fractional Nonautonomous Systems

Author

Listed:
  • Fahd Jarad
  • Thabet Abdeljawad
  • Dumitru Baleanu
  • Kübra Biçen

Abstract

Using the Lyapunov direct method, the stability of discrete nonautonomous systems within the frame of the Caputo fractional difference is studied. The conditions for uniform stability, uniform asymptotic stability, and uniform global stability are discussed.

Suggested Citation

  • Fahd Jarad & Thabet Abdeljawad & Dumitru Baleanu & Kübra Biçen, 2012. "On the Stability of Some Discrete Fractional Nonautonomous Systems," Abstract and Applied Analysis, John Wiley & Sons, vol. 2012(1).
    • Handle: RePEc:wly:jnlaaa:v:2012:y:2012:i:1:n:476581
    DOI: 10.1155/2012/476581
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    Cited by:

    1. Abdon Atangana & Suares Clovis Oukouomi Noutchie, 2014. "On the Fractional Nagumo Equation with Nonlinear Diffusion and Convection," Abstract and Applied Analysis, John Wiley & Sons, vol. 2014(1).
    2. Seng-Kin Lao & Lap-Mou Tam & Hsien-Keng Chen & Long-Jye Sheu, 2014. "Hybrid Stability Checking Method for Synchronization of Chaotic Fractional‐Order Systems," Abstract and Applied Analysis, John Wiley & Sons, vol. 2014(1).
    3. Małgorzata Wyrwas & Dorota Mozyrska & Ewa Girejko, 2013. "On Solutions to Fractional Discrete Systems with Sequential h‐Differences," Abstract and Applied Analysis, John Wiley & Sons, vol. 2013(1).
    4. Thabet Abdeljawad & Ferhan M. Atici, 2012. "On the Definitions of Nabla Fractional Operators," Abstract and Applied Analysis, John Wiley & Sons, vol. 2012(1).
    5. Jin-Fa Cheng & Yu-Ming Chu, 2012. "Fractional Difference Equations with Real Variable," Abstract and Applied Analysis, John Wiley & Sons, vol. 2012(1).

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