文章基本信息

标题：Approximate controllability and optimal controls of fractional dynamical systems of order 1 < q < 2 $1< q<2$ in Banach spaces
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作者：Haiyong Qin ; Xin Zuo ; Jianwei Liu 等
期刊名称：Advances in Difference Equations
印刷版ISSN：1687-1839
电子版ISSN：1687-1847
出版年度：2015
卷号：2015
期号：1
页码：73
DOI：10.1186/s13662-015-0399-5
语种：English
出版社：Hindawi Publishing Corporation
摘要：This paper investigates the approximate controllability and optimal controls of fractional dynamical systems of order 1 < q < 2 $1< q<2$ in Banach spaces. We research a class of fractional dynamical systems governed by fractional integrodifferential equations with nonlocal initial conditions. Using the Krasnosel’skii fixed point theorem and the Schauder fixed point theorem, the approximate controllability results are obtained under two cases of the nonlinear term. We also present the existence results of optimal pairs of the corresponding fractional control systems with a Bolza cost function. Finally, an application is given to illustrate the effectiveness of our main results.
关键词：fractional integrodifferential equations ; fixed point theorems ; approximate controllability ; optimal controls