Almost periodic mild solutions for stochastic delay functional. differential equations driven by a fractional Brownian motion

In this paper we investigate the existence and stability of quadratic-mean almost periodic mild solutions to stochastic delay functional differential equations driven by fractional Brownian motion with Hurst parameter H > 1/2 , under some suitable assumptions, by means of semigroup of operators...

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Bibliographic Details
Main Authors: Toufik Guendouzi, Khadem Mehdi
Format: Article
Language:English
Published: Conspress 2014-03-01
Series:Romanian Journal of Mathematics and Computer Science
Subjects:
Online Access:http://www.rjm-cs.ro/GuendouziMehdi-1-2014.pdf
Description
Summary:In this paper we investigate the existence and stability of quadratic-mean almost periodic mild solutions to stochastic delay functional differential equations driven by fractional Brownian motion with Hurst parameter H > 1/2 , under some suitable assumptions, by means of semigroup of operators and fixed point method.
ISSN:2247-689X