Abstract: We studied  stochastic Volterra-Levin equations driven by fractional Brownian motion. Aiming at the problem that  the stability in probability and the exponential stability were sometimes too strong in some cases, we discussed a kind of weaker stability: the stability in distribution, and obtained  the stability conditions in distribution of the segment process of the solutions.

Key words: fractional Brownian motion, stochastic VolterraLevin equation, stability in distribution