CONTROLLABILITY OF SEMILINEAR NEUTRAL STOCHASTIC INTEGRODIFFERENTIAL EVOLUTION SYSTEMS WITH FRACTIONAL BROWNIAN MOTION

Nan Cao; Xianlong Fu

doi:10.1216/JIE.2022.34.409

CONTROLLABILITY OF SEMILINEAR NEUTRAL STOCHASTIC INTEGRODIFFERENTIAL EVOLUTION SYSTEMS WITH FRACTIONAL BROWNIAN MOTION

Nan Cao^*
, Xianlong Fu

^*此作品的通讯作者

数学科学学院

East China Normal University

科研成果: 期刊稿件 › 文章 › 同行评审

2 引用（Scopus）

摘要

This paper focuses on the approximate controllability of semilinear neutral stochastic integrodifferential systems with fractional Brownian motion in a Hilbert space. The theory of analytic resolvent operators of linear neutral integrodifferential equations and the Banach fixed point theorem are employed to obtain the main results. In order to improve the regularity of solutions, the theory of fractional powers and the α-norm are also utilized to discuss the problem. An example is presented in the end to illustrate the applications of the obtained results.

源语言	英语
页（从-至）	409-432
页数	24
期刊	Journal of Integral Equations and Applications
卷	34
期	4
DOI	https://doi.org/10.1216/JIE.2022.34.409
出版状态	已出版 - 2022

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title = "CONTROLLABILITY OF SEMILINEAR NEUTRAL STOCHASTIC INTEGRODIFFERENTIAL EVOLUTION SYSTEMS WITH FRACTIONAL BROWNIAN MOTION",

abstract = "This paper focuses on the approximate controllability of semilinear neutral stochastic integrodifferential systems with fractional Brownian motion in a Hilbert space. The theory of analytic resolvent operators of linear neutral integrodifferential equations and the Banach fixed point theorem are employed to obtain the main results. In order to improve the regularity of solutions, the theory of fractional powers and the α-norm are also utilized to discuss the problem. An example is presented in the end to illustrate the applications of the obtained results.",

keywords = "Approximate controllability, Fractional brownian motion, Neutral integrodifferential system, Resolvent operator",

author = "Nan Cao and Xianlong Fu",

note = "Publisher Copyright: {\textcopyright} Rocky Mountain Mathematics Consortium",

year = "2022",

doi = "10.1216/JIE.2022.34.409",

language = "英语",

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T1 - CONTROLLABILITY OF SEMILINEAR NEUTRAL STOCHASTIC INTEGRODIFFERENTIAL EVOLUTION SYSTEMS WITH FRACTIONAL BROWNIAN MOTION

AU - Cao, Nan

AU - Fu, Xianlong

N1 - Publisher Copyright: © Rocky Mountain Mathematics Consortium

PY - 2022

Y1 - 2022

N2 - This paper focuses on the approximate controllability of semilinear neutral stochastic integrodifferential systems with fractional Brownian motion in a Hilbert space. The theory of analytic resolvent operators of linear neutral integrodifferential equations and the Banach fixed point theorem are employed to obtain the main results. In order to improve the regularity of solutions, the theory of fractional powers and the α-norm are also utilized to discuss the problem. An example is presented in the end to illustrate the applications of the obtained results.

AB - This paper focuses on the approximate controllability of semilinear neutral stochastic integrodifferential systems with fractional Brownian motion in a Hilbert space. The theory of analytic resolvent operators of linear neutral integrodifferential equations and the Banach fixed point theorem are employed to obtain the main results. In order to improve the regularity of solutions, the theory of fractional powers and the α-norm are also utilized to discuss the problem. An example is presented in the end to illustrate the applications of the obtained results.

KW - Approximate controllability

KW - Fractional brownian motion

KW - Neutral integrodifferential system

KW - Resolvent operator

UR - https://www.scopus.com/pages/publications/85147649339

U2 - 10.1216/JIE.2022.34.409

DO - 10.1216/JIE.2022.34.409

M3 - 文章

AN - SCOPUS:85147649339

SN - 0897-3962

VL - 34

SP - 409

EP - 432

JO - Journal of Integral Equations and Applications

JF - Journal of Integral Equations and Applications

IS - 4

ER -

CONTROLLABILITY OF SEMILINEAR NEUTRAL STOCHASTIC INTEGRODIFFERENTIAL EVOLUTION SYSTEMS WITH FRACTIONAL BROWNIAN MOTION

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