Approximate controllability of fractional order semilinear systems with bounded delay

Approximate controllability of fractional order semilinear systems with bounded delay
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DOI:
10.1016/j.jde.2012.02.014
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发表时间:
2012-06
影响因子:
2.4
通讯作者:
Surendra Kumar;N. Sukavanam
Surendra Kumar;N. Sukavanam
中科院分区:
数学2区
文献类型:
--
作者:
Surendra Kumar;N. Sukavanam

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本文建立了一类分数阶半线性时滞控制系统近似能控的充分条件。证明了该系统温和解的存在唯一性。利用压缩原理和Schauder不动点定理得到了该结果.最后给出了一些例子来说明这一理论。
In this paper, sufficient conditions are established for the approximate controllability of a class of semilinear delay control systems of fractional order. The existence and uniqueness of mild solution of the system is also proved. The results are obtained by using contraction principle and the Schauder fixed point theorem. Some examples are given to illustrate the theory.