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

Zichen Yao, Zhanwen Yang and Yusong Zhang

Chaos, Solitons & Fractals, 2021, vol. 152, issue C

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.

Keywords: Complex-valued differential equations; Caputo’s fractional derivative; Stability; Laplace transform; Time delays (search for similar items in EconPapers)
Date: 2021
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Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:152:y:2021:i:c:s0960077921006317

DOI: 10.1016/j.chaos.2021.111277

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