摘要：This paper investigates the approximate controllability and optimal controls of fractional dynamical systems of order 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.

关键字：fractional integrodifferential equations fixed point theorems approximate controllability optimal controls

ISSN号：1687-1847

发表日期：2015-03-04

期刊分区（SCI为中科院分区）：三区

收录情况：SCIE（科学引文索引网络版）,ESI（基本科学指标数据库）

发表期刊名称：ADVANCES IN DIFFERENCE EQUATIONS

参与作者：Liu, Lishan

通讯作者：秦海勇

第一作者：左信,刘建伟

论文类型：期刊论文

论文概要：秦海勇,左信,刘建伟,Liu, Lishan，Approximate controllability and optimal controls of fractional dynamical systems of order 1 < q < 2 in Banach spaces，ADVANCES IN DIFFERENCE EQUATIONS，2015，

论文题目：Approximate controllability and optimal controls of fractional dynamical systems of order 1 < q < 2 in Banach spaces