Controllability of fractional higher order stochastic integrodifferential systems with fractional Brownian motion

被引：26

作者：

Sathiyaraj, T. ^{[1
]}

Balasubramaniam, P. ^{[1
]}

机构：

[1] Gandhigram Rural Inst, Dept Math, Dindigul 624302, Tamil Nadu, India

来源：

ISA TRANSACTIONS | 2018年 / 82卷

关键词：

Fractional derivatives; Mittag-Leffler function; Fractional Brownian motion; Complete controllability; Stochastic integrodifferential system; APPROXIMATE CONTROLLABILITY; MODEL;

D O I：

10.1016/j.isatra.2017.11.005

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

This paper presents a new set of sufficient conditions for controllability of fractional higher order stochastic integrodifferential systems with fractional Brownian motion (fBm) in finite dimensional space using fractional calculus, fixed point technique and stochastic analysis approach. In particular, we discuss the complete controllability for nonlinear fractional stochastic integrodifferential systems under the proved result of the corresponding linear fractional system is controllable. Finally, an example is presented to illustrate the efficiency of the obtained theoretical results. (C) 2017 ISA. Published by Elsevier Ltd. All rights reserved.

引用

页码：107 / 119

页数：13

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