On the Solvability and Optimal Controls of Fractional Integrodifferential Evolution Systems with Infinite Delay
On the Solvability and Optimal Controls of Fractional Integrodifferential Evolution Systems with Infinite Delay
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DOI：
10.1007/s10957-011-9892-5
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发表时间：
2011-07
影响因子：
1.9
通讯作者：
Jinrong Wang;Yong Zhou;M. Medved'
中科院分区：
文献类型：
--
作者：
Jinrong Wang;Yong Zhou;M. Medved'
在本文中，我们研究了巴拿赫空间中一类具有无限延迟的分数积分微分演化系统的可解性和最优控制。首先，引入了更合适的温和解决方案的概念。其次，利用先验估计和逐步推广技术研究了温和解的存在性和连续依赖性。最后证明了无限时滞分数阶积分微分演化系统最优控制的存在性。
In this paper, we study the solvability and optimal controls of a class of fractional integrodifferential evolution systems with infinite delay in Banach spaces. Firstly, a more appropriate concept for mild solutions is introduced. Secondly, existence and continuous dependence of mild solutions are investigated by utilizing the techniques of a priori estimation and extension of step by steps. Finally, existence of optimal controls for system governed by fractional integrodifferential evolution systems with infinite delay is proved.