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Mittag-Leffler Stability Theorem for Fractional Nonlinear Systems with Delay

Author

Listed:
  • S. J. Sadati
  • D. Baleanu
  • A. Ranjbar
  • R. Ghaderi
  • T. Abdeljawad (Maraaba)

Abstract

Fractional calculus started to play an important role for analysis of the evolution of the nonlinear dynamical systems which are important in various branches of science and engineering. In this line of taught in this paper we studied the stability of fractional order nonlinear time-delay systems for Caputo's derivative, and we proved two theorems for Mittag-Leffler stability of the fractional nonlinear time delay systems.

Suggested Citation

  • S. J. Sadati & D. Baleanu & A. Ranjbar & R. Ghaderi & T. Abdeljawad (Maraaba), 2010. "Mittag-Leffler Stability Theorem for Fractional Nonlinear Systems with Delay," Abstract and Applied Analysis, Hindawi, vol. 2010, pages 1-7, August.
    • Handle: RePEc:hin:jnlaaa:108651
    DOI: 10.1155/2010/108651
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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. 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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