McKibben, Mark A.Webster, Micah2017-07-262017-07-262017-01-24M. McKibben, M.Webster, “Abstract functional second-order stochastic evolution equations with applications, ” Afrika Matematika, (2017), 1-26, doi: 10.1007/s13370-017-0480-1.http://hdl.handle.net/11603/4375We investigate a class of abstract second-order damped functional stochastic evolution equations driven by a fractional Brownian motion in a separable Hilbert space. The global existence of mild solutions is established under various growth and compactness conditions. The case of a nonlocal initial condition is addressed. A related convergence result is discussed, and the theory is applied to stochastic wave and beam equations, as well as a spring-mass system, for illustrative purposes.en-USCosine familySecond-order equationFractional Brownian motionStochastic evolution equationAbstract functional second-order stochastic evolution equations with applicationsText