| 分数阶混合随机泛函微分方程的能控性 |
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| 引用本文： | 杨加顺,胡军浩.分数阶混合随机泛函微分方程的能控性[J].南京气象学院学报,2016,8(2):186-192. |
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| 作者姓名： | 杨加顺 胡军浩 |
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| 作者单位： | 中南民族大学 数学与统计学学院, 武汉, 430074;中南民族大学 数学与统计学学院, 武汉, 430074 |
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| 基金项目： | 国家自然科学基金(61374085);中央高校基本科研业务费专项基金(CZW15113) |
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| 摘 要： | 主要研究了分数阶混合随机泛函微分方程的能控性.在无限维空间下,假设所考虑方程线性部分生成半群不是紧的,使用非紧性测度技术和Mönch不动点定理,给出了方程能控性充分条件,并通过一个例子说明了结论的有效性.
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| 关 键 词： | 分数阶微分方程 混合随机微分方程 能控性 非紧性测度 Mönch不动点定理 |
| 收稿时间： | 2016/3/13 0:00:00 |
Controllability of fractional hybrid stochastic functional differential equations |
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| YANG Jiashun and HU Junhao.Controllability of fractional hybrid stochastic functional differential equations[J].Journal of Nanjing Institute of Meteorology,2016,8(2):186-192. |
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| Authors: | YANG Jiashun and HU Junhao |
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| Institution: | School of Mathematics and Statistics, South-Central University for Nationalities, Wuhan 430074;School of Mathematics and Statistics, South-Central University for Nationalities, Wuhan 430074 |
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| Abstract: | This paper considers the controllability of a class of fractional hybrid stochastic functional differential equations.In infinite dimension space,by using measure of noncompact and Mönch fixed point theorem,the sufficient conditions of controllability of the equations are obtained under the assumption that the semigroup generated by the linear part of the equations is not compact.Finally,an example is given to illustrate the effectiveness of the result. |
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| Keywords: | fractional differential equations hybrid stochastic differential equations controllability measure of noncompact Mönch fixed point theorem |
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