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Razumikhin Stability Theorem for Fractional Systems with Delay

Author

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

Abstract

Fractional calculus techniques and methods started to be applied successfully during the last decades in several fields of science and engineering. In this paper we studied the stability of fractional‐order nonlinear time‐delay systems for Riemann‐Liouville and Caputo derivatives and we extended Razumikhin theorem for the fractional nonlinear time‐delay systems.

Suggested Citation

  • D. Baleanu & S. J. Sadati & R. Ghaderi & A. Ranjbar & T. Abdeljawad (Maraaba) & F. Jarad, 2010. "Razumikhin Stability Theorem for Fractional Systems with Delay," Abstract and Applied Analysis, John Wiley & Sons, vol. 2010(1).
    • Handle: RePEc:wly:jnlaaa:v:2010:y:2010:i:1:n:124812
    DOI: 10.1155/2010/124812
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    References listed on IDEAS

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    1. Shaher Momani & Samir Hadid, 2004. "Lyapunov stability solutions of fractional integrodifferential equations," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 2004, pages 1-5, January.
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    Cited by:

    1. Zhao, Zhemin & Zhu, Lingyu & Li, Jiafu & Du, Dongsheng, 2025. "Actuator and sensor fault detection for a nonlinear fractional-order system with time-varying delay," Chaos, Solitons & Fractals, Elsevier, vol. 199(P1).
    2. Hai Zhang & Daiyong Wu & Jinde Cao, 2014. "Asymptotic Stability of Caputo Type Fractional Neutral Dynamical Systems with Multiple Discrete Delays," Abstract and Applied Analysis, John Wiley & Sons, vol. 2014(1).
    3. 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, John Wiley & Sons, vol. 2010(1).

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