APPROXIMATE CONTROLLABILITY OF NEUTRAL FRACTIONAL STOCHASTIC DIFFERENTIAL SYSTEMS WITH CONTROL ON THE BOUNDARY

被引：3
|
作者：
Ahmed, Hamdy M. [1 ]
机构：
[1] El Shorouk Acad, Higher Inst Engn, Dept Phys & Engn Math, El Shorouk City, Cairo, Egypt
来源：
NUMERICAL ALGEBRA CONTROL AND OPTIMIZATION | 2025年 / 15卷 / 02期
关键词：
Fractional Brownian motion; fractional calculus; neutral stochastic differential systems; control on the boundary; approximate controllability; EXACT NULL CONTROLLABILITY; INTEGRODIFFERENTIAL-SYSTEMS; EVOLUTION SYSTEMS; EQUATION DRIVEN; BROWNIAN-MOTION; STABILITY; EXISTENCE;
D O I：
10.3934/naco.2023013
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, the approximate boundary controllability results for neutral fractional stochastic differential system with fractional Brownian motion in Hilbert space is discussed. The existence mild solution of neutral fractional stochastic differential system with fractional Brownian motion is proved by using fractional calculus, compact semigroup, Schauder fixed-point theorem and stochastic analysis. The sufficient conditions for approximate boundary controllability of this system is established under the corresponding linear system is approximately controllable. Finally, an example is given to show the application of our results.
引用
收藏
页码：300 / 314
页数：15
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