Controllability of Sobolev type stochastic differential equations driven by fBm with non-instantaneous impulses

被引:0
|
作者
Madhuri, S. [1 ]
Deekshitulu, G. V. S. R. [1 ]
机构
[1] JNTUK, Dept Math, UCEK, Kakinada, AP, India
来源
INTERNATIONAL JOURNAL OF NONLINEAR ANALYSIS AND APPLICATIONS | 2022年 / 13卷 / 02期
关键词
Controllability; fractional Brownian motion; fixed point theorem; non-instantaneous impulses; Sobolev type stochastic differential equations; APPROXIMATE CONTROLLABILITY; INTEGRODIFFERENTIAL EQUATIONS; EVOLUTION-EQUATIONS; INCLUSIONS; STABILITY; EXISTENCE;
D O I
10.22075/ijnaa.2022.20542.2164
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this paper, we examine the controllability results for a class of multi-valued Sobolev type neutral stochastic differ-ential equations that are steered by fractional Brownian motion B-t(H) with non-instantaneous impulses for H is an element of (1/2, 1) by assuming the controllability of the linear system. The results are obtained by utilizing the fixed-point theorem for multi-valued operators and stochastic analysis. At last, an example is given to represent the results of the theorem.
引用
收藏
页码:923 / 938
页数:16
相关论文
共 50 条
  • [31] RAZUMIKHIN METHOD TO DELAY DIFFERENTIAL EQUATIONS WITH NON-INSTANTANEOUS IMPULSES
    Agarwal, Ravi
    Hristova, Snezhana
    O'Regan, Donal
    DIFFERENTIAL EQUATIONS & APPLICATIONS, 2019, 11 (01): : 143 - 165
  • [32] LIPSCHITZ STABILITY OF DELAY DIFFERENTIAL EQUATIONS WITH NON-INSTANTANEOUS IMPULSES
    Hristova, S.
    Ivanova, K.
    DYNAMIC SYSTEMS AND APPLICATIONS, 2019, 28 (01): : 167 - 181
  • [33] Global Solutions for Abstract Differential Equations with Non-Instantaneous Impulses
    Pierri, Michelle
    Henriquez, Hernan R.
    Prokopczyk, Andrea
    MEDITERRANEAN JOURNAL OF MATHEMATICS, 2016, 13 (04) : 1685 - 1708
  • [34] Non-autonomous Evolution Equations of Parabolic Type with Non-instantaneous Impulses
    Chen, Pengyu
    Zhang, Xuping
    Li, Yongxiang
    MEDITERRANEAN JOURNAL OF MATHEMATICS, 2019, 16 (05)
  • [35] Controllability results to non-instantaneous impulsive with infinite delay for generalized fractional differential equations
    Salem, Ahmed
    Abdullah, Sanaa
    ALEXANDRIA ENGINEERING JOURNAL, 2023, 70 : 525 - 533
  • [36] Lipschitz stability of differential equations with non-instantaneous impulses
    Snezhana Hristova
    Radoslava Terzieva
    Advances in Difference Equations, 2016
  • [37] Approximate Controllability of Neutral Functional Integro-Differential Equations with State-Dependent Delay and Non-Instantaneous Impulses
    Bensalem, Abdelhamid
    Salim, Abdelkrim
    Benchohra, Mouffak
    Feckan, Michal
    MATHEMATICS, 2023, 11 (07)
  • [38] Non-Instantaneous Impulses in Caputo Fractional Differential Equations
    Ravi Agarwal
    Snezhana Hristova
    Donal O’Regan
    Fractional Calculus and Applied Analysis, 2017, 20 : 595 - 622
  • [39] NONLINEAR IMPLICIT GENERALIZED HILFER TYPE FRACTIONAL DIFFERENTIAL EQUATIONS WITH NON-INSTANTANEOUS IMPULSES
    Salim, Abdelkrim
    Benchohra, Mouffak
    Lazreg, Jamal eddine
    N'guerekata, Gaston
    DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES S, 2024, 17 (5-6): : 2234 - 2250
  • [40] Hilfer fractional stochastic system driven by mixed Brownian motion and Lvy noise suffered by non-instantaneous impulses
    Balasubramaniam, P.
    STOCHASTIC ANALYSIS AND APPLICATIONS, 2023, 41 (01) : 60 - 79