Weak solutions and optimal controls of stochastic fractional reaction-diffusion systems

被引：0

作者：

Fu, Yongqiang ^{[1
]}

Yan, Lixu ^{[1
]}

机构：

[1] Harbin Inst Technol, Dept Math, Harbin, Peoples R China

来源：

OPEN MATHEMATICS | 2020年 / 18卷

基金：

中国国家自然科学基金;

关键词：

stochastic system; fractional Laplacian; weak solution; optimal control; EQUATIONS; LAPLACIAN;

D O I：

10.1515/math-2020-0060

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The aim of this paper is to investigate a class of nonlinear stochastic reaction-diffusion systems involving fractional Laplacian in a bounded domain. First, the existence and uniqueness of weak solutions are proved by using Galerkin's method. Second, the existence of optimal controls for the corresponding stochastic optimal control problem is obtained. Finally, several examples are provided to demonstrate the theoretical results.

引用

页码：1135 / 1149

页数：15

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