TY  - JOUR
AU  - JIA, Qian
AU  - WANG, Wei
PY  - 2025
TI  - Regularity of stochastic convolution with distributed delay
JO  - Journal of Capital Normal University (Natural Science Edition)
SN  - 1004-9398
SP  - 18
EP  - 23
VL  - 46
IS  - 2
AB  - This paper discusses the regularity of stochastic convolution of a class of linear stochastic functional differential equations with distributed delay driven by fractional Brownian motion. In this paper, the regularity of stochastic convolution is obtained by using the estimation of fundamental solutions and the properties of fractional Brownian motion. In particular, when the coefficient operator of the equation conforms to some specific conditions, this paper gives a condition satisfying the regularity of stochastic convolution.
UR  - https://doi.org/10.19789/j.1004-9398.2025.02.003
DO  - 10.19789/j.1004-9398.2025.02.003