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Abstract Functional Stochastic Evolution Equations Driven by Fractional Brownian Motion
Joint Authors
Webster, Micah
McKibben, Mark A.
Source
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-14, 14 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-02-25
Country of Publication
Egypt
No. of Pages
14
Main Subjects
Abstract EN
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.
American Psychological Association (APA)
McKibben, Mark A.& Webster, Micah. 2014. Abstract Functional Stochastic Evolution Equations Driven by Fractional Brownian Motion. Abstract and Applied Analysis،Vol. 2014, no. 2014, pp.1-14.
https://search.emarefa.net/detail/BIM-1033818
Modern Language Association (MLA)
McKibben, Mark A.& Webster, Micah. Abstract Functional Stochastic Evolution Equations Driven by Fractional Brownian Motion. Abstract and Applied Analysis No. 2014 (2014), pp.1-14.
https://search.emarefa.net/detail/BIM-1033818
American Medical Association (AMA)
McKibben, Mark A.& Webster, Micah. Abstract Functional Stochastic Evolution Equations Driven by Fractional Brownian Motion. Abstract and Applied Analysis. 2014. Vol. 2014, no. 2014, pp.1-14.
https://search.emarefa.net/detail/BIM-1033818
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1033818