FRACTIONAL STOCHASTIC EVOLUTION EQUATIONS WITH BALAKRISHNAN'S WHITE NOISE

Abstract. For a fractional stochastic differential equation in a Hilbert space with white noise of the Balakrishnan type, existence and uniqueness theorems for solutions are established. The correlation operator of the stochastic solution is calculated. The results obtained are used in digital signal processing in space communication systems and in the analysis of the profitability of
securities.