This paper addresses the exponential stability of the trivial solution of
some types of evolution equations driven by H\"older continuous functions with
H\"older index greater than 1/2. The results can be applied to the case of
equations whose noisy inputs are given by a fractional Brownian motion BH
with covariance operator Q, provided that H∈(1/2,1) and tr(Q) is
sufficiently small.Comment: 19 page