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2014 Abstract Functional Stochastic Evolution Equations Driven by Fractional Brownian Motion
Mark A. McKibben, Micah Webster
Abstr. Appl. Anal. 2014: 1-14 (2014). DOI: 10.1155/2014/516853

Abstract

We investigate a class of abstract functional stochastic evolution equations driven by a fractional Brownian motion in a real separable Hilbert space. Global existence results concerning mild solutions are formulated under various growth and compactness conditions. Continuous dependence estimates and convergence results are also established. Analysis of three stochastic partial differential equations, including a second-order stochastic evolution equation arising in the modeling of wave phenomena and a nonlinear diffusion equation, is provided to illustrate the applicability of the general theory.

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Mark A. McKibben. Micah Webster. "Abstract Functional Stochastic Evolution Equations Driven by Fractional Brownian Motion." Abstr. Appl. Anal. 2014 1 - 14, 2014. https://doi.org/10.1155/2014/516853

Information

Published: 2014
First available in Project Euclid: 2 October 2014

zbMATH: 1331.60122
MathSciNet: MR3176751
Digital Object Identifier: 10.1155/2014/516853

Rights: Copyright © 2014 Hindawi

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