Optimal controllability of non-instantaneous impulsive partial stochastic differential systems with fractional sectorial operators

被引：13

作者：

Yan, Zuomao ^{[1
]}

Yang, Qiong ^{[1
]}

机构：

[1] Hexi Univ, Dept Math, Zhangye 734000, Gansu, Peoples R China

来源：

BULLETIN DES SCIENCES MATHEMATIQUES | 2020年 / 159卷

基金：

中国国家自然科学基金;

关键词：

Optimal controllability; Non-instantaneous impulsive partial; stochastic differential systems; Measure of noncompactness; Fractional sectorial operators; Fixed point; PARTIAL INTEGRODIFFERENTIAL EQUATION; EXISTENCE; DELAY;

D O I：

10.1016/j.bulsci.2019.102828

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we consider a new class of non-instantaneous impulsive partial stochastic differential systems with fractional sectorial operators in separable Hilbert spaces. Using the fractional calculus, the measure of noncompactness, properties of sectorial operators and fixed point theorems, we establish the optimal controllability to the these control systems without assuming the operators is compact. Finally, an example is provided to illustrate the obtained theory. (C) 2019 Elsevier Masson SAS. All rights reserved.

引用

页数：38

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