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<p>This paper discusses the fractional stochastic neutral evolution equation driven by a fractional Brownian motion. The existence of square-mean <i>S</i>-asymptotically periodic mild solutions for the associated stochastic evolution equation driven by a fractional Brownian motion is established. Some new existence results of mean square <i>S</i>-asymptotically periodic mild solutions for neutral fractional stochastic evolution equation are showed by means of the operator semigroup theory, stochastic analysis and fixed point theorems.</p>

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Square-mean S-asymptotic periodic solutions of fractional stochastic neutral evolution equations driven by fractional Brownian motion

  • 期刊论文

  • 发表日期：

    2025年2月14日

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  • Mei Wei,
  • Xu Wu,
  • Qiang Li

摘要

This paper discusses the fractional stochastic neutral evolution equation driven by a fractional Brownian motion. The existence of square-mean S-asymptotically periodic mild solutions for the associated stochastic evolution equation driven by a fractional Brownian motion is established. Some new existence results of mean square S-asymptotically periodic mild solutions for neutral fractional stochastic evolution equation are showed by means of the operator semigroup theory, stochastic analysis and fixed point theorems.