In this work, we establish a controllability result for a class of fractional neutral stochastic functional differential equations with infinite delay driven by fractional Brownian motion. To attain our objective we adapt the argument of Lakhel & McKibben (2018, Stochastics 90, no. 3, 313–329) where the existence of mild solutions to such stochastic equations was studied. An example is provided to show the applicability of the theoretical result.

中文翻译：

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分数布朗运动驱动的无限延迟分数中性泛函微分方程的可控性

在这项工作中，我们建立了一类由分数布朗运动驱动的具有无限延迟的分数中性随机泛函微分方程的可控性结果。为了实现我们的目标，我们采用了 Lakhel & McKibben (2018, Stochastics 90, no. 3, 313-329) 的论点，其中研究了此类随机方程的温和解的存在。举例说明理论结果的适用性。