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On the Novel Finite-Time Stability Results for Uncertain Fractional Delay Differential Equations Involving Noninstantaneous Impulses

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  • Qien Li
  • Danfeng Luo
  • Zhiguo Luo
  • Quanxin Zhu

Abstract

In this paper, we mainly study the finite-time stability for a kind of uncertain fractional-order delay differential equations with noninstantaneous impulses. By using the Lyapunov functions along with the generalized Grönwall inequality, we present the new stability results for the considered equations. Finally, two examples are given to demonstrate the effectiveness of our theoretical results.

Suggested Citation

  • Qien Li & Danfeng Luo & Zhiguo Luo & Quanxin Zhu, 2019. "On the Novel Finite-Time Stability Results for Uncertain Fractional Delay Differential Equations Involving Noninstantaneous Impulses," Mathematical Problems in Engineering, Hindawi, vol. 2019, pages 1-9, September.
    • Handle: RePEc:hin:jnlmpe:9097135
    DOI: 10.1155/2019/9097135
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    Cited by:

    1. Wang, Xue & Luo, Danfeng & Zhu, Quanxin, 2022. "Ulam-Hyers stability of caputo type fuzzy fractional differential equations with time-delays," Chaos, Solitons & Fractals, Elsevier, vol. 156(C).
    2. 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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