Averaging Method for Neutral Stochastic Delay Differential Equations Driven by Fractional Brownian Motion. (29th May 2020)

• Record Type: Journal Article
• Authors: Wang, Peiguang; Xu, Yan
• Other Names: Chen Chuanjun Guest Editor.
• Is Part Of: Journal of function spaces. Volume 2020(2020)
• Publication Date: 2020-05-29
• Subjects: Function spaces -- Periodicals; 515.7305
• DOI: 10.1155/2020/5212690
• Languages: English
• ISSNs: 2314-8896

Abstract

Abstract : In this paper, we investigate the stochastic averaging method for neutral stochastic delay differential equations driven by fractional Brownian motion with Hurst parameter H ∈ 1 / 2, 1 . By using the linear operator theory and the pathwise approach, we show that the solutions of neutral stochastic delay differential equations converge to the solutions of the corresponding averaged stochastic delay differential equations. At last, an example is provided to illustrate the applications of the proposed results.