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
收藏
页数：10
相关论文
共 50 条
  • [31] A note on approximate controllability of the Hilfer fractional neutral differential inclusions with infinite delay
    Kavitha, K.
    Vijayakumar, V.
    Udhayakumar, R.
    Sakthivel, N.
    Sooppy Nisar, Kottakkaran
    MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2021, 44 (06) : 4428 - 4447
  • [32] The effects of Clarke sub-differential and Poisson jumps on nonlocal controllability of Sobolev-type fractional stochastic differential inclusions
    Wael W. Mohammed
    Hamdy M. Ahmed
    Homan Emadifar
    Karim K. Ahmed
    A. M. Sayed Ahmed
    Journal of Inequalities and Applications, 2025 (1)
  • [33] Sobolev-Type Nonlinear (k,ψ)-Hilfer Fractional Differential Equations With Control: Approximate Controllability Exploration
    Mourad, Kerboua
    Ichrak, Bouacida
    Sami, Segni
    JOURNAL OF COMPUTATIONAL AND NONLINEAR DYNAMICS, 2024, 19 (11):
  • [34] Approximate controllability for stochastic evolution inclusions of Clarke's subdifferential type
    Lu, Liang
    Liu, Zhenhai
    Bin, Maojun
    APPLIED MATHEMATICS AND COMPUTATION, 2016, 286 : 201 - 212
  • [35] Controllability of impulsive nonlinear ψ-Hilfer fractional integro-differential equations
    Ahmed, A. M. Sayed
    AL-Nahhas, Mahmoud A.
    Omar, Othman A. M.
    Chalishajar, Dimplekumar N.
    Ahmed, Hamdy M.
    RESULTS IN CONTROL AND OPTIMIZATION, 2024, 16
  • [36] Existence and controllability for stochastic evolution inclusions of Clarke's subdifferential type
    Li, Yunxiang
    Lu, Liang
    ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS, 2015, (59)
  • [37] Controllability of Hilfer fractional neutral impulsive stochastic delayed differential equations with nonlocal conditions
    Hussain, Sadam
    Sarwar, Muhammad
    Abodayeh, Kamaleldin
    Promsakon, Chanon
    Sitthiwirattham, Thanin
    CHAOS SOLITONS & FRACTALS, 2024, 183
  • [38] Approximate controllability of Sobolev-type nonlocal Hilfer fractional stochastic differential system
    Subramaniam, Saravanakumar
    INTERNATIONAL JOURNAL OF DYNAMICAL SYSTEMS AND DIFFERENTIAL EQUATIONS, 2022, 12 (05) : 412 - 430
  • [39] Analysis on Controllability Results for Impulsive Neutral Hilfer Fractional Differential Equations with Nonlocal Conditions
    Linitda, Thitiporn
    Karthikeyan, Kulandhaivel
    Sekar, Palanisamy Raja
    Sitthiwirattham, Thanin
    MATHEMATICS, 2023, 11 (05)
  • [40] Approximate controllability of hybrid Hilfer fractional differential inclusions with non-instantaneous impulses
    Boudjerida, Assia
    Seba, Djamila
    CHAOS SOLITONS & FRACTALS, 2021, 150 (150)
12345