@Article{JCM-42-1526, author = {Xu , Jie and Zhang , Mingbo}, title = {Wong-Zakai Approximations for Stochastic Volterra Equations}, journal = {Journal of Computational Mathematics}, year = {2024}, volume = {42}, number = {6}, pages = {1526--1553}, abstract = {
In this paper, we shall prove a Wong-Zakai approximation for stochastic Volterra equations under appropriate assumptions. We may apply it to a class of stochastic differential equations with the kernel of fractional Brownian motion with Hurst parameter $H ∈ (1/2, 1)$ and subfractional Brownian motion with Hurst parameter $H ∈ (1/2, 1).$ As far as we know, this is the first result on stochastic Volterra equations in this topic.
}, issn = {1991-7139}, doi = {https://doi.org/10.4208/jcm.2305-m2022-0268}, url = {http://global-sci.org/intro/article_detail/jcm/23506.html} }