A discussion on approximate controllability of Sobolev-type Hilfer neutral fractional stochastic differential inclusions

被引：79
|
作者：
Dineshkumar, C. [1 ]
Nisar, Kottakkaran Sooppy [2 ]
Udhayakumar, R. [1 ]
Vijayakumar, V. [1 ]
机构：
[1] Vellore Inst Technol, Sch Adv Sci, Dept Math, Vellore 632014, Tamil Nadu, India
[2] Prince Sattam Bin Abdulaziz Univ, Coll Arts & Sci, Dept Math, Wadi Aldawaser, Saudi Arabia
来源：
ASIAN JOURNAL OF CONTROL | 2022年 / 24卷 / 05期
关键词：
approximate controllability; Hilfer fractional stochastic differential inclusions; neutral system; Sobolev-type system; EQUATIONS; EXISTENCE;
D O I：
10.1002/asjc.2650
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
In this paper, the approximate controllability of Sobolev-type Hilfer neutral fractional stochastic differential inclusions in Hilbert spaces is considered. By using the stochastic analysis theory, fractional calculus, multivalued maps, and Karlin's fixed point technique, a new set of necessary and sufficient conditions, are formulated which guarantees the approximate controllability of the nonlinear Hilfer fractional stochastic system. The results are obtained under the assumption that the associated linear system is approximately controllable. Finally, two examples are presented to illustrate the theory of the obtained results.
引用
收藏
页码：2378 / 2394
页数：17
相关论文
共 50 条
  • [1] Approximate controllability of Sobolev-type nonlocal Hilfer fractional stochastic differential system
    Subramaniam, Saravanakumar
    [J]. INTERNATIONAL JOURNAL OF DYNAMICAL SYSTEMS AND DIFFERENTIAL EQUATIONS, 2022, 12 (05) : 412 - 430
  • [2] Results on approximate controllability of Sobolev-type fractional neutral differential inclusions of Clarke subdifferential type
    Kavitha, K.
    Vijayakumar, V.
    Shukla, Anurag
    Nisar, Kottakkaran Sooppy
    Udhayakumar, R.
    [J]. CHAOS SOLITONS & FRACTALS, 2021, 151
  • [3] A new approach on approximate controllability of Sobolev-type Hilfer fractional differential equations
    Pandey, Ritika
    Shukla, Chandan
    Shukla, Anurag
    Upadhyay, Ashwini Kumar
    Singh, Arun Kumar
    [J]. INTERNATIONAL JOURNAL OF OPTIMIZATION AND CONTROL-THEORIES & APPLICATIONS-IJOCTA, 2023, 13 (01): : 130 - 138
  • [4] Hilfer fractional neutral stochastic Sobolev-type evolution hemivariational inequality: Existence and controllability
    Ma, Yong-Ki
    Dineshkumar, C.
    Vijayakumar, V.
    Udhayakumar, R.
    Shukla, Anurag
    Nisar, Kottakkaran Sooppy
    [J]. AIN SHAMS ENGINEERING JOURNAL, 2023, 14 (09)
  • [5] On controllability for Sobolev-type fuzzy Hilfer fractional integro-differential inclusions with Clarke subdifferential
    Zhang, Chuanlin
    Ye, Guoju
    Liu, Wei
    Liu, Xuelong
    [J]. CHAOS SOLITONS & FRACTALS, 2024, 183
  • [6] Approximate controllability results for impulsive neutral differential inclusions of Sobolev-type with infinite delay
    Vijayakumar, V.
    [J]. INTERNATIONAL JOURNAL OF CONTROL, 2018, 91 (10) : 2366 - 2386
  • [7] ON THE APPROXIMATE CONTROLLABILITY OF NEUTRAL INTEGRO-DIFFERENTIAL INCLUSIONS OF SOBOLEV-TYPE WITH INFINITE DELAY
    Vijayakumar, V.
    Udhayakumar, R.
    Kavitha, K.
    [J]. EVOLUTION EQUATIONS AND CONTROL THEORY, 2021, 10 (02): : 271 - 296
  • [8] APPROXIMATE CONTROLLABILITY OF HILFER FRACTIONAL NEUTRAL STOCHASTIC DIFFERENTIAL EQUATIONS
    Lv, Jingyun
    Yang, Xiaoyuan
    [J]. DYNAMIC SYSTEMS AND APPLICATIONS, 2018, 27 (04): : 691 - 713
  • [9] A discussion on the approximate controllability of Hilfer fractional neutral stochastic integro-differential systems
    Dineshkumar, C.
    Udhayakumar, R.
    Vijayakumar, V.
    Nisar, Kottakkaran Sooppy
    [J]. CHAOS SOLITONS & FRACTALS, 2021, 142
  • [10] Results concerning to approximate controllability of non-densely defined Sobolev-type Hilfer fractional neutral delay differential system
    Nisar, Kottakkaran Sooppy
    Vijayakumar, V.
    [J]. MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2021, 44 (17) : 13615 - 13632
12345