  The paper deals with projection estimators of the density of the stationary
solution $X$ to a differential equation driven by the fractional Brownian
motion under a dissipativity condition on the drift function. A model selection
method is provided and, thanks to the concentration inequality for Lipschitz
functionals of discrete samples of $X$ proved in Bertin et al. (2020), an
oracle inequality is established for the adaptive estimator.
