G -Bessel processes and related properties

In this paper, for a class of d -dimensional G -Brownian motions, we introduce G -Bessel processes. Under the condition of dimensionality d, we obtain that the G -Bessel process is the solution of a stochastic differential equation. Moreover, under the more strict condition of dimensionality d, we get the uniqueness of the solution of stochastic differential equations governing G -Bessel processes and the nonattainability of the origin of G -Brownian motion.