Solvability and Optimal Controls of a Fractional Impulsive Stochastic Partial Integro-Differential Equation with State-Dependent Delay

被引：14

作者：

Yan, Zuomao ^{[1
]}

Lu, Fangxia ^{[1
]}

机构：

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

来源：

ACTA APPLICANDAE MATHEMATICAE | 2018年 / 155卷 / 01期

基金：

中国国家自然科学基金;

关键词：

Fractional impulsive stochastic partial integro-differential equations; Optimal controls; State-dependent delay; Analytic alpha-resolvent operator; Fixed point theorem; EVOLUTION-EQUATIONS; DIFFERENTIAL-EQUATIONS; NONLOCAL CONDITIONS; HILBERT-SPACES; EXISTENCE; CONTROLLABILITY; SYSTEMS;

D O I：

10.1007/s10440-017-0145-y

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, a new class of fractional impulsive stochastic partial integro-differential control systems with state-dependent delay and their optimal controls in a Hilbert space is studied. We firstly prove an existence result of mild solutions for the control systems by using stochastic analysis, analytic alpha-resolvent operator, fractional powers of closed operators and suitable fixed point theorems. Then we derive the existence conditions of optimal pairs to the fractional impulsive stochastic control systems. Finally, an example is given to illustrate the effectiveness of our main results.

引用

页码：57 / 84

页数：28

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