Document Type
Article
Publication Date
2014
Abstract
We investigate a class of abstract functional stochastic evolution equations driven by a fractional Brownianmotion in a real separable Hilbert space.Global existence results concerningmild 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.
Publication Title
Abstract and Applied Analysis
Publisher
Hindawi Publishing Corporation
Volume
2014
Issue
Article ID 516853
First Page
1
Last Page
14
DOI
http://dx.doi.org/10.1155/2014/516853
Recommended Citation
McKibben, M. A., & Webster, M. (2014). Abstract Functional Stochastic Evolution Equations Driven by Fractional Brownian Motion. Abstract and Applied Analysis, 2014(Article ID 516853), 1-14. http://dx.doi.org/http://dx.doi.org/10.1155/2014/516853