Exploration nonlocal controllability for Hilfer fractional differential inclusions with Clarke subdifferential and nonlinear noise

被引：6

作者：

Ahmed, Hamdy M. ^{[1
]}

Zhu, Quanxin ^{[2
]}

机构：

[1] El Shorouk Acad, Higher Inst Engn, Dept Phys & Engn Math, El Shorouk City, Cairo, Egypt

[2] Hunan Normal Univ, Sch Math & Stat, CHP LCOCS, Changsha 410081, Peoples R China

来源：

STATISTICS & PROBABILITY LETTERS | 2023年 / 195卷

基金：

中国国家自然科学基金;

关键词：

Hilfer fractional differential inclusions; Stochastic analysis; Nonlocal controllability; Clarke subdifferential; NULL CONTROLLABILITY; EXISTENCE; EQUATIONS; SYSTEMS;

D O I：

10.1016/j.spl.2023.109781

中图分类号：

O21 [概率论与数理统计]; C8 [统计学];

学科分类号：

020208 ; 070103 ; 0714 ;

摘要：

In this study, we deal with the control system described by nonlocal Hilfer fractional differential inclusions with Clarke subdifferential and nonlinear noise. By using frac-tional calculus, stochastic analysis, properties of Clarke subdifferential and non-smooth analysis, nonlocal controllability for the considered problem are established. Finally, an example is given to illustrate the obtained results.(c) 2023 Elsevier B.V. All rights reserved.

引用

页数：10

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