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In this article, we investigate the \(p\) -th moment exponential stability ( \(p\) -th ES) of stochastic reaction–diffusion systems driven by G-Brownian motion (G-SRDSs) with respect to (w.r.t.) partial variables by utilizing the G-Lyapunov techniques and G-Itô's formula. And the sufficient conditions are established to guarantee the \(p\) -th ES of G-SRDSs w.r.t. partial variables. Additionally, a numerical simulation example is given to verify of the theoretical result.

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Stability with Regard to Partial Variables of Stochastic Reaction–Diffusion Systems Driven by G-Brownian Motion

  • 会议论文

  • 出版模式：

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  • 发表日期：

    2025年

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  • Jinhao Gou,
  • Jun Yang,
  • Yaqian Wang,
  • Shiqiang Xu

摘要

In this article, we investigate the \(p\) -th moment exponential stability ( \(p\) -th ES) of stochastic reaction–diffusion systems driven by G-Brownian motion (G-SRDSs) with respect to (w.r.t.) partial variables by utilizing the G-Lyapunov techniques and G-Itô's formula. And the sufficient conditions are established to guarantee the \(p\) -th ES of G-SRDSs w.r.t. partial variables. Additionally, a numerical simulation example is given to verify of the theoretical result.