@Article{JNMA-4-587, author = {Wu , ShangHuang , Jianhua and Chen , Feng}, title = {The Regularity of Stochastic Convolution Driven by Tempered Fractional Brownian Motion and Its Application to Mean-Field Stochastic Differential Equations}, journal = {Journal of Nonlinear Modeling and Analysis}, year = {2022}, volume = {4}, number = {3}, pages = {587--604}, abstract = {
In this paper, some properties of a stochastic convolution driven by tempered fractional Brownian motion are obtained. Based on this result, we get the existence and uniqueness of stochastic mean-field equation driven by tempered fractional Brownian motion. Furthermore, combining with the Banach fixed point theorem and the properties of Mittag-Leffler functions, we study the existence and uniqueness of mild solution for a kind of time fractional mean-field stochastic differential equation driven by tempered fractional Brownian motion.
}, issn = {2562-2862}, doi = {https://doi.org/10.12150/jnma.2022.587}, url = {http://global-sci.org/intro/article_detail/jnma/20726.html} }