Applicability of undetermined coefficients methods to several
fractional-stochastic models is investigated. These models are mostly
generated by fractional-order derivative operators and include a
fractional white noise term. Application of a polynomial chaos algorithm
to stochastic Lotka-Volterra and Benney systems are also investigated.
Fractional-stochastic equations considered in this paper are totally
original systems which may serve as models for many scientific and
engineering phenomena. It is pointed out that Galerkin type methods
employed in this paper may be efficiently applied to fractional-order
systems having uncertainty or a noise term.