Almost Periodic Solutions to Impulsive Stochastic Delay Differential Equations Driven by Fractional Brownian Motion With 12 < H < 1

In this article, we study the existence and uniqueness of square-mean piecewise almost periodic solutions to a class of impulsive stochastic functional differential equations driven by fractional Brownian motion. Moreover, the stability of the mild solution is obtained. To illustrate the results obt...

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Autores principales:	Lili Gao, Xichao Sun
Formato:	article
Lenguaje:	EN
Publicado:	Frontiers Media S.A. 2021
Materias:	fractional Brownian motion square-mean piecewise almost periodic solution impulsive systems stochastic functional differential equation stability Physics QC1-999
Acceso en línea:	https://doaj.org/article/b693cdf1e4ba48b9b7c041810b2af3c5
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spelling	oai:doaj.org-article:b693cdf1e4ba48b9b7c041810b2af3c52021-11-22T04:37:07ZAlmost Periodic Solutions to Impulsive Stochastic Delay Differential Equations Driven by Fractional Brownian Motion With 12 < H < 12296-424X10.3389/fphy.2021.783125https://doaj.org/article/b693cdf1e4ba48b9b7c041810b2af3c52021-11-01T00:00:00Zhttps://www.frontiersin.org/articles/10.3389/fphy.2021.783125/fullhttps://doaj.org/toc/2296-424XIn this article, we study the existence and uniqueness of square-mean piecewise almost periodic solutions to a class of impulsive stochastic functional differential equations driven by fractional Brownian motion. Moreover, the stability of the mild solution is obtained. To illustrate the results obtained in the paper, an impulsive stochastic functional differential equation driven by fractional Brownian motion is considered.Lili GaoXichao SunFrontiers Media S.A.articlefractional Brownian motionsquare-mean piecewise almost periodic solutionimpulsive systemsstochastic functional differential equationstabilityPhysicsQC1-999ENFrontiers in Physics, Vol 9 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	fractional Brownian motion square-mean piecewise almost periodic solution impulsive systems stochastic functional differential equation stability Physics QC1-999
spellingShingle	fractional Brownian motion square-mean piecewise almost periodic solution impulsive systems stochastic functional differential equation stability Physics QC1-999 Lili Gao Xichao Sun Almost Periodic Solutions to Impulsive Stochastic Delay Differential Equations Driven by Fractional Brownian Motion With 12 < H < 1
description	In this article, we study the existence and uniqueness of square-mean piecewise almost periodic solutions to a class of impulsive stochastic functional differential equations driven by fractional Brownian motion. Moreover, the stability of the mild solution is obtained. To illustrate the results obtained in the paper, an impulsive stochastic functional differential equation driven by fractional Brownian motion is considered.
format	article
author	Lili Gao Xichao Sun
author_facet	Lili Gao Xichao Sun
author_sort	Lili Gao
title	Almost Periodic Solutions to Impulsive Stochastic Delay Differential Equations Driven by Fractional Brownian Motion With 12 < H < 1
title_short	Almost Periodic Solutions to Impulsive Stochastic Delay Differential Equations Driven by Fractional Brownian Motion With 12 < H < 1
title_full	Almost Periodic Solutions to Impulsive Stochastic Delay Differential Equations Driven by Fractional Brownian Motion With 12 < H < 1
title_fullStr	Almost Periodic Solutions to Impulsive Stochastic Delay Differential Equations Driven by Fractional Brownian Motion With 12 < H < 1
title_full_unstemmed	Almost Periodic Solutions to Impulsive Stochastic Delay Differential Equations Driven by Fractional Brownian Motion With 12 < H < 1
title_sort	almost periodic solutions to impulsive stochastic delay differential equations driven by fractional brownian motion with 12 < h < 1
publisher	Frontiers Media S.A.
publishDate	2021
url	https://doaj.org/article/b693cdf1e4ba48b9b7c041810b2af3c5
work_keys_str_mv	AT liligao almostperiodicsolutionstoimpulsivestochasticdelaydifferentialequationsdrivenbyfractionalbrownianmotionwith12h1 AT xichaosun almostperiodicsolutionstoimpulsivestochasticdelaydifferentialequationsdrivenbyfractionalbrownianmotionwith12h1
_version_	1718418182289489920

Almost Periodic Solutions to Impulsive Stochastic Delay Differential Equations Driven by Fractional Brownian Motion With 12 < H < 1

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