A note on existence and approximate controllability outcomes of Atangana-Baleanu neutral fractional stochastic hemivariational inequality

被引:24
|
作者
Dineshkumar, C. [1 ]
Udhayakumar, R. [1 ]
Vijayakumar, V. [1 ]
Nisar, Kottakkaran Sooppy [2 ]
Shukla, Anurag [3 ]
Abdel-Aty, Abdel-Haleem [4 ,5 ]
Mahmoud, Mona [6 ]
Mahmoud, Emad E. [7 ]
机构
[1] Vellore Inst Technol, Sch Adv Sci, Dept Math, Vellore 632 014, Tamilnadu, India
[2] Prince Sattam Bin Abdulaziz Univ, Coll Arts & Sci, Dept Math, Wadi Aldawaser 11991, Saudi Arabia
[3] Rajkiya Engn Coll Kannauj, Dept Appl Sci, Kannauj 209732, India
[4] Univ Bisha, Coll Sci, Dept Phys, POB 344, Bisha 61922, Saudi Arabia
[5] Al Azhar Univ, Fac Sci, Phys Dept, Assiut 71524, Egypt
[6] King Khalid Univ, Coll Sci, Dept Phys, POB 9004, Abha 61413, Saudi Arabia
[7] Taif Univ, Coll Sci, Dept Math & Stat, POB 11099, Taif 21944, Saudi Arabia
关键词
Atangana-Baleanu derivative; Stochastic system; Hemivariational inequality; Approximate controllability; Neutral equation; Nonlocal conditions; INCLUSIONS; EQUATIONS;
D O I
10.1016/j.rinp.2022.105647
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
This article is primarily targeting the approximate controllability results of Atangana-Baleanu neutral fractional stochastic hemivariational inequality. The primary conclusions were validated using principles and ideas from stochastic analysis, fractional calculus, multivalued map theory, and fixed point techniques. We begin by emphasizing the existence of mild solutions, and then demonstrate the fractional control system's approximate controllability. Our findings are then applied to the notion of nonlocal circumstances. At last, an example is included to show the applicability of our results.
引用
收藏
页数:12
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