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

页码：2378 / 2394

页数：17

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