文章基本信息

标题：Lagrange optimal controls and time optimal controls for composite fractional relaxation systems
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作者：Tingting Lian ; Zhenbin Fan ; Gang Li 等
期刊名称：Advances in Difference Equations
印刷版ISSN：1687-1839
电子版ISSN：1687-1847
出版年度：2017
卷号：2017
期号：1
页码：233
DOI：10.1186/s13662-017-1299-7
语种：English
出版社：Hindawi Publishing Corporation
摘要：By means of the theory of resolvent and Schauder’s fixed point, the existence results of semilinear composite fractional relaxation systems are acquired. Then the new approach of setting up minimizing sequences twice is used to derive the optimal pairs without Lipschitz assumptions on nonlinear functions and nonlocal items. Moreover, the reflexivity of a state space X is not required by making full use of the compact method. Our results essentially improve and generalize those on optimal controls in recent literature.
关键词：fractional composite relaxation systems ; resolvent operators ; optimal controls ; time optimal ; mild solution