| 带有非局部条件的分数阶中立型发展方程的近似可控性 |
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| 引用本文： | 申明圆,寇春海,郭少军.带有非局部条件的分数阶中立型发展方程的近似可控性[J].上海师范大学学报(自然科学版),2016,45(3):253-364. |
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| 作者姓名： | 申明圆 寇春海 郭少军 |
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| 作者单位： | 东华大学,东华大学,东华大学 |
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| 摘 要： | 讨论了带有非局部条件的分数阶中立型微分系统的近似可控性. 利用分数幂算子和Krasnoselskii不动点定理, 证明了半线性分数阶中立型微分系统温和解的存在性. 进而在相应线性系统近似可控的基础上, 讨论了半线性中立型微分系统的近似可控性.
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| 关 键 词： | 近似可控性 分数阶中立型发展方程 半群理论 非局部条件 Krasnoselskii不动点定理 |
| 收稿时间： | 2015/7/15 0:00:00 |
Approximate controllability of fractional neutral evolution equations with nonlocal conditions |
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| SHEN Mingyuan,KOU Chunhai and GUO Shaojun.Approximate controllability of fractional neutral evolution equations with nonlocal conditions[J].Journal of Shanghai Normal University(Natural Sciences),2016,45(3):253-364. |
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| Authors: | SHEN Mingyuan KOU Chunhai and GUO Shaojun |
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| Institution: | College of Science, Donghua University,College of Science, Donghua University and College of Science, Donghua University |
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| Abstract: | In this paper, the approximate controllability of fractional neutral differential system with nonlocal conditions is studied. By using the theory of fractional power of operators and the Krasnoselskii''s fixed point theorem, the existence of mild solutions is proved and sufficient conditions are given to guarantee the controllability of the semilinear systems. |
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