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ON STOCHASTIC FRACTIONAL VOLTERRA EQUATIONS IN HILBERT SPACE

By Anna Karczewska and Carlos Lizama

Abstract

Abstract. In this paper, stochastic Volterra equations, particularly fractional, in Hilbert space are studied. Sufficient conditions for existence of strong solutions are provided. 1. Introduction. Let (Ω, F, (Ft)t≥0, P) be a stochastic basis and H a separable Hilbert space. In this paper we consider the stochastic Volterra equations in H of the form X(t) = X(0)

Year: 2013
OAI identifier: oai:CiteSeerX.psu:10.1.1.360.2423
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