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Controllability of fractional order damped dynamical systems with distributed delays

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  • Arthi, G.
  • Park, Ju H.
  • Suganya, K.

Abstract

This paper deals with the controllability criteria for fractional-order damped dynamical systems with distributed delays using Caputo derivatives for both linear and nonlinear cases. Controllability results are established by utilizing the Mittag-Leffler function (MLF) and Schauder’s fixed point theorem. Finally, two numerical examples are provided to show applicability of the proposed results.

Suggested Citation

  • Arthi, G. & Park, Ju H. & Suganya, K., 2019. "Controllability of fractional order damped dynamical systems with distributed delays," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 165(C), pages 74-91.
    • Handle: RePEc:eee:matcom:v:165:y:2019:i:c:p:74-91
    DOI: 10.1016/j.matcom.2019.03.001
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    References listed on IDEAS

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    1. Balachandran, K. & Govindaraj, V. & Rivero, M. & Trujillo, J.J., 2015. "Controllability of fractional damped dynamical systems," Applied Mathematics and Computation, Elsevier, vol. 257(C), pages 66-73.
    2. G. Arthi & K. Balachandran, 2012. "Controllability of Damped Second-Order Impulsive Neutral Functional Differential Systems with Infinite Delay," Journal of Optimization Theory and Applications, Springer, vol. 152(3), pages 799-813, March.
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    4. Achar, B.N.Narahari & Hanneken, J.W. & Enck, T. & Clarke, T., 2001. "Dynamics of the fractional oscillator," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 297(3), pages 361-367.
    5. Tofighi, Ali, 2003. "The intrinsic damping of the fractional oscillator," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 329(1), pages 29-34.
    6. Stanislavsky, Aleksander A., 2005. "Twist of fractional oscillations," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 354(C), pages 101-110.
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    Cited by:

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