Analysis of fractional stochastic evolution equations by using Hilfer derivative of finite approximate controllability

被引：17

作者：

Moumen, Abdelkader ^{[1
]}

Shafqat, Ramsha ^{[2
]}

Alsinai, Ammar ^{[3
]}

Boulares, Hamid ^{[4
]}

Cancan, Murat ^{[5
]}

Jeelani, Mdi Begum ^{[6
]}

机构：

[1] Univ Hail, Fac Sci, Dept Math, Hail 55425, Saudi Arabia

[2] Univ Lahore, Dept Math & Stat, Sargodha 40100, Pakistan

[3] Kuvempu Univ, Dept Math, Shivamogga 577451, Karnataka, India

[4] Univ 8 May 1945 Guelma, Fac MISM, Dept Math, Lab Anal & Control Differential Equat ACED, Guelma, Afghanistan

[5] Yuzuncu Yil Univ, Fac Educ, TR-65080 Van, Turkiye

[6] Imam Mohammad Ibn Saud Islamic Univ, Coll Sci, Dept Math & Stat, Riyadh 13314, Saudi Arabia

来源：

AIMS MATHEMATICS | 2023年 / 8卷 / 07期

关键词：

stochastic calculus; Hilfer derivative; finite approximate controllability; semi; -group; fixed; point theory; stochastic evolution equations; NONLOCAL CONDITIONS; CAUCHY-PROBLEMS; MILD SOLUTIONS; ORDER; EXISTENCE; UNIQUENESS;

D O I：

10.3934/math.2023821

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The approximate controllability of a class of fractional stochastic evolution equations (FSEEs) are discussed in this study utilizes the Hilbert space by using Hilfer derivative. For different approaches, we remove the Lipschitz or compactness conditions and merely have to assume a weak growth requirement. The fixed point theorem, the diagonal argument, and approximation methods serve as the foundation for the study. The abstract theory is demonstratedusing an example.

引用

页码：16094 / 16114

页数：21

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