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.
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页数：10
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