Exact controllability of fractional order evolution equations in Banach spaces

被引：0
作者：
Yi Cheng
Shanshan Gao
Yuhu Wu
机构：
[1] Bohai University,Department of Mathematics
[2] Liaoning University of Science and Engineering,Department of Information Engineering
[3] Dalian University of Technology,Department of Mathematics
来源：
Advances in Difference Equations | / 2018卷
关键词：
Fractional order evolution equation; Caputo fractional derivative; Banach space;
D O I：
暂无
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学科分类号：
摘要：
In this paper, we deal with the exact controllability of a class of fractional evolution equations with time-varying delay. Under the nonlocal condition, the exact controllability of this system is established by applying a Leray–Schauder alternative theorem and the theory of propagation families in a Banach space. As an application, the controllability of a fractional partial differential equation is examined to show the effectiveness of our result.
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