Approximate controllability for semilinear composite fractional relaxation equations
Approximate controllability for semilinear composite fractional relaxation equations
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DOI：
10.1515/fca-2016-0015
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发表时间：
2016-02
影响因子：
3
通讯作者：
Z. Fan;Qixiang Dong;Gang Li
中科院分区：
文献类型：
--
作者：
Z. Fan;Qixiang Dong;Gang Li
摘要考虑Hilbert空间中一类由半线性复合分数松弛方程控制的控制系统。我们首先证明了该系统有一个温和的解。然后，在假设相应的线性系统近似能控的前提下，研究了松弛方程的近似能控性。文中还给出了一个例子来说明我们的结果。
Abstract We consider a control system governed by a semilinear composite fractional relaxation equation in Hilbert space. We first prove that the system has a mild solution. Then, we investigate the approximate controllability of the relaxation equation under the assumption that the corresponding linear system is approximately controllable. An example is also given to illustrate our results.