Hilfer fractional neutral stochastic Sobolev-type evolution hemivariational inequality: Existence and controllability

被引：10

作者：

Ma, Yong-Ki ^{[1
]}

Dineshkumar, C. ^{[2
]}

Vijayakumar, V. ^{[2
]}

Udhayakumar, R. ^{[2
]}

Shukla, Anurag ^{[3
]}

Nisar, Kottakkaran Sooppy ^{[4
]}

机构：

[1] Kongju Natl Univ, Dept Appl Math, Gongju Si 32588, Chungcheongnam, South Korea

[2] Vellore Inst Technol, Sch Adv Sci, Dept Math, Vellore 632014, Tamil Nadu, India

[3] Rajkiya Engn Coll Kannauj, Dept Appl Sci, Kannauj 209732, India

[4] Prince Sattam Bin Abdulaziz Univ, Coll Arts & Sci, Dept Math, Wadi Aldawaser 11991, Saudi Arabia

来源：

AIN SHAMS ENGINEERING JOURNAL | 2023年 / 14卷 / 09期

基金：

新加坡国家研究基金会;

关键词：

Generalized Clarke subdifferential; Stochastic equation; Approximate controllability; Hilfer fractional derivative (HFD); Hemivariational inequality; Neutral systems; APPROXIMATE CONTROLLABILITY; DIFFERENTIAL-INCLUSIONS; CONTACT PROBLEM; EQUATION;

D O I：

10.1016/j.asej.2023.102126

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

This paper discusses the approximate controllability of hemivariational inequalities of the Sobolev-type Hilfer fractional neutral stochastic evolution system. Firstly, by using fixed point theorems, fractional cal-culus, Hilfer fractional derivatives, multivalued maps and stochastic analysis, for stochastic fractional evolution systems, we demonstrate mild solutions. Whereupon we introduce necessary conditions that ensure the approximate controllability of stochastic fractional systems. As a final step, we define our pri-mary outcomes using an example.(c) 2023 THE AUTHORS. Published by Elsevier BV on behalf of Faculty of Engineering, Ain Shams Uni-versity. This is an open access article under the CC BY-NC-ND license (http://creativecommons.org/licenses/ by-nc-nd/4.0/).

引用

页数：13

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