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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, Hindawi, vol. 2012, pages 1-9, February.
    • Handle: RePEc:hin:jnlaaa:476581
    DOI: 10.1155/2012/476581
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    Cited by:

    1. Suwan, Iyad & Abdeljawad, Thabet & Jarad, Fahd, 2018. "Monotonicity analysis for nabla h-discrete fractional Atangana–Baleanu differences," Chaos, Solitons & Fractals, Elsevier, vol. 117(C), pages 50-59.
    2. Jarunee Soontharanon & Saowaluck Chasreechai & Thanin Sitthiwirattham, 2019. "A Coupled System of Fractional Difference Equations with Nonlocal Fractional Sum Boundary Conditions on the Discrete Half-Line," Mathematics, MDPI, vol. 7(3), pages 1-22, March.
    3. Thabet Abdeljawad & Fadila Madjidi & Fahd Jarad & Ndolane Sene, 2019. "On Dynamic Systems in the Frame of Singular Function Dependent Kernel Fractional Derivatives," Mathematics, MDPI, vol. 7(10), pages 1-13, October.

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