SOLVABILITY AND OPTIMAL CONTROLS OF FRACTIONAL IMPULSIVE STOCHASTIC EVOLUTION EQUATIONS WITH NONLOCAL CONDITIONS

被引：1

作者：

Ding, Yonghong ^{[1
]}

Niu, Jing ^{[2
]}

机构：

[1] Tianshui Normal Univ, Dept Math, Tianshui 741000, Gansu, Peoples R China

[2] Gansu Ind Polytech Coll, Dept Geol, Tianshui 730207, Gansu, Peoples R China

来源：

JOURNAL OF APPLIED ANALYSIS AND COMPUTATION | 2024年 / 14卷 / 05期

基金：

中国国家自然科学基金;

关键词：

Nonlo cal problem; impulsive; optimal control; stochastic evolution equations; APPROXIMATE CONTROLLABILITY; EXISTENCE; ORDER; SYSTEM;

D O I：

10.11948/20230238

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper deals with the solvability and optimal controls of a class of impulsive fractional stochastic evolution equations with nonlo cal initial conditions in a Hilbert space. Firstly, the existence and uniqueness of mild solutions for the considered system are investigated. Then, we derive the existence conditions of optimal pairs to the control systems. In the end, an example is presented to illustrate the effectiveness of our abstract results.

引用

页码：2622 / 2642

页数：21

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