Complete controllability of fractional evolution systems

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• 作者：JinRong Wang^a ; ^{wjr9668@126.com} ; Yong Zhou^b ; ^{yzhou@xtu.edu.cn}
• 关键词：Complete controllability ; Fractional evolution systems ; Fixed point methods
• 刊名：Communications in Nonlinear Science and Numerical Simulation
• 出版年：2012
• 期刊代码：89_10075704
• 类别：ph
• 出版时间：November, 2012
• 卷：17
• 期：11
• 页码：4346-4355
• 文件大小：247 K

摘要

The paper is concerned with the complete controllability of fractional evolution systems without involving the compactness of characteristic solution operators introduced by us. The main techniques rely on the fractional calculus, properties of characteristic solution operators and fixed point theorems. Since we do not assume the characteristic solution operators are compact, our theorems guarantee the effectiveness of controllability results in the infinite dimensional spaces.