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Uniqueness and Novel Finite-Time Stability of Solutions for a Class of Nonlinear Fractional Delay Difference Systems

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  • Danfeng Luo
  • Zhiguo Luo

Abstract

This paper focuses on the uniqueness and novel finite-time stability of solutions for a kind of fractional-order nonlinear difference equations with time-varying delays. Under some new criteria and by applying the generalized Gronwall inequality, the new constructive results have been established in the literature. As an application, two typical examples are delineated to demonstrate the effectiveness of our theoretical results.

Suggested Citation

  • Danfeng Luo & Zhiguo Luo, 2018. "Uniqueness and Novel Finite-Time Stability of Solutions for a Class of Nonlinear Fractional Delay Difference Systems," Discrete Dynamics in Nature and Society, Hindawi, vol. 2018, pages 1-7, September.
    • Handle: RePEc:hin:jnddns:8476285
    DOI: 10.1155/2018/8476285
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    Cited by:

    1. Luo, Danfeng & Tian, Mengquan & Zhu, Quanxin, 2022. "Some results on finite-time stability of stochastic fractional-order delay differential equations," Chaos, Solitons & Fractals, Elsevier, vol. 158(C).

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