Null controllability of Hilfer fractional stochastic integrodifferential equations with noninstantaneous impulsive and Poisson jump

被引:3
|
作者
Alnafisah, Yousef [2 ]
Ahmed, Hamdy M. [1 ]
机构
[1] El Shorouk Acad, Higher Inst Engn, Cairo, Egypt
[2] Qassim Univ, Coll Sci, Math Dept, POB 6644, Buraydah 51452, Saudi Arabia
关键词
Hilfer fractional stochastic integrodifferential system; noninstantaneous impulsive; null controllability; Poisson jumps; FUNCTIONAL-DIFFERENTIAL EQUATIONS; ROSENBLATT PROCESS; DRIVEN;
D O I
10.1515/ijnsns-2020-0292
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
In this paper, we investigate the sufficient conditions for null controllability of noninstantaneous impulsive Hilfer fractional stochastic integrodifferential system with the Rosenblatt process and Poisson jump. The required results are obtained based on fractional calculus, stochastic analysis, and Sadovskii's fixed point theorem. Finally, an example is given to illustrate the obtained results.
引用
收藏
页码:2347 / 2368
页数:22
相关论文
共 50 条
  • [31] Null Controllability of Nonlocal Sobolev-Type Hilfer Fractional Stochastic Differential System Driven by Fractional Brownian Motion and Poisson Jumps
    Ravikumar, K.
    Ramkumar, K.
    Anguraj, A.
    JOURNAL OF APPLIED NONLINEAR DYNAMICS, 2021, 10 (04) : 617 - 626
  • [32] Controllability of semilinear noninstantaneous impulsive neutral stochastic differential equations via Atangana-Baleanu Caputo fractional derivative
    Sarwar, Muhammad
    Hussain, Sadam
    Abodayeh, Kamaleldin
    Moonsuwan, Sawitree
    Sitthiwirattham, Thanin
    ALEXANDRIA ENGINEERING JOURNAL, 2024, 94 : 149 - 158
  • [33] Existence and controllability of impulsive fractional stochastic differential equations driven by Rosenblatt process with Poisson jumps
    Dhayal, Rajesh
    Malik, Muslim
    JOURNAL OF ENGINEERING MATHEMATICS, 2021, 130 (01)
  • [34] Existence and controllability of impulsive fractional stochastic differential equations driven by Rosenblatt process with Poisson jumps
    Rajesh Dhayal
    Muslim Malik
    Journal of Engineering Mathematics, 2021, 130
  • [35] Controllability of Impulsive Fractional Stochastic Partial Differential Equations
    Zhang, Lei
    Ding, Yongsheng
    Hao, Kuangrong
    Wang, Tong
    2013 10TH IEEE INTERNATIONAL CONFERENCE ON CONTROL AND AUTOMATION (ICCA), 2013, : 513 - 517
  • [36] Non-instantaneous impulsive Hilfer-Katugampola fractional stochastic differential equations with fractional Brownian motion and Poisson jumps
    Ahmed, A. M. Sayed
    Ahmed, Hamdy M. M.
    JOURNAL OF CONTROL AND DECISION, 2024, 11 (02) : 317 - 327
  • [37] Impulsive Hilfer fractional differential equations
    Ahmed, Hamdy M.
    El-Borai, Mahmoud M.
    El-Owaidy, Hassan M.
    Ghanem, Ahmed S.
    ADVANCES IN DIFFERENCE EQUATIONS, 2018,
  • [38] Optimal control of Hilfer fractional stochastic integrodifferential systems driven by Rosenblatt process and Poisson jumps
    Ramkumar, K.
    Ravikumar, K.
    Elsayed, E. M.
    JOURNAL OF CONTROL AND DECISION, 2023, 10 (04) : 538 - 546
  • [39] Impulsive Hilfer fractional differential equations
    Hamdy M. Ahmed
    Mahmoud M. El-Borai
    Hassan M. El-Owaidy
    Ahmed S. Ghanem
    Advances in Difference Equations, 2018
  • [40] Controllability of coupled fractional integrodifferential equations
    Waheed, Hira
    Zada, Akbar
    Rizwan, Rizwan
    Popa, Ioan-Lucian
    INTERNATIONAL JOURNAL OF NONLINEAR SCIENCES AND NUMERICAL SIMULATION, 2023, 24 (06) : 2113 - 2144