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A stability criterion for fractional-order complex-valued differential equations with distributed delays

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  • Yao, Zichen
  • Yang, Zhanwen
  • Zhang, Yusong

Abstract

In this paper, we investigate the global asymptotic stability of fractional-order complex-valued differential equations with distributed delays. Based on the Laplace transform method, a novel necessary and sufficient condition for the stability is established by imbedding the characteristic equation into two-dimensional complex system. The algebraical criterion is expressed by the fractional exponent, coefficients and the delay. Finally, two numerical examples are given to show the feasibility and effectiveness of the theoretical results.

Suggested Citation

  • Yao, Zichen & Yang, Zhanwen & Zhang, Yusong, 2021. "A stability criterion for fractional-order complex-valued differential equations with distributed delays," Chaos, Solitons & Fractals, Elsevier, vol. 152(C).
    • Handle: RePEc:eee:chsofr:v:152:y:2021:i:c:s0960077921006317
    DOI: 10.1016/j.chaos.2021.111277
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    References listed on IDEAS

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    5. Čermák, Jan & Došlá, Zuzana & Kisela, Tomáš, 2017. "Fractional differential equations with a constant delay: Stability and asymptotics of solutions," Applied Mathematics and Computation, Elsevier, vol. 298(C), pages 336-350.
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    Cited by:

    1. Zuxiong Li & Shengnan Fu & Huili Xiang & Hailing Wang, 2021. "Qualitative Analysis of a Single-Species Model with Distributed Delay and Nonlinear Harvest," Mathematics, MDPI, vol. 9(20), pages 1-26, October.
    2. Yang, Zhanwen & Li, Qi & Yao, Zichen, 2023. "A stability analysis for multi-term fractional delay differential equations with higher order," Chaos, Solitons & Fractals, Elsevier, vol. 167(C).

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