Pullback random attractors for Non-Autonomous stochastic fractional FitzHugh-Nagumo system
Pullback random attractors for Non-Autonomous stochastic fractional FitzHugh-Nagumo system
复制标题
非自治随机分数 FitzHugh-Nagumo 系统的回拉随机吸引子
DOI：
10.4236/jamp.2020.81010
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发表时间：
2020
期刊：
影响因子：
--
通讯作者：
Guo Yanfeng
中科院分区：
文献类型：
--
作者：
Guo Chunxiao;Chen Yiju;Guo Yanfeng
本文关注一类由加性白噪声导出的非自治分数 FitzHugh-Nagumo 方程解的渐近行为。我们首先为解的存在性和唯一性提供一些充分条件，然后在适当的希尔伯特空间中证明由所考虑方程的解生成的随机动力系统的调节回拉随机吸引子的存在性和唯一性。证明是基于动力系统的统一估计和分解。
This paper is concerned with the asymptotic behavior of solutions for a class of non-autonomous fractional FitzHugh-Nagumo equations deriven by additive white noise. We first provide some sufficient conditions for the existence and uniqueness of solutions, and then prove the existence and uniqueness of tempered pullback random attractors for the random dynamical system generated by the solutions of considered equations in an appropriate Hilbert space. The proof is based on the uniform estimates and the decomposition of dynamical system.