On the approximate controllability for fractional evolution hemivariational inequalities |
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| Authors: | Yunxiang Li Xiuwen Li Yiliang Liu |
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| Affiliation: | 1. School of Mathematics, Computation Sciences, Hunan City University, Yiyang, China;2. College of Mathematics, Statistics, Baise University, Baise, Guangxi Province, China;3. Guangxi Key Laboratory of Hybrid Computation and IC Design Analysis, Guangxi University for Nationalities, Nanning, Guangxi Province, China;4. Guangxi Key Laboratory of Universities Optimization Control and Engineering Calculation, Guangxi University for Nationalities, Nanning, Guangxi Province, China |
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| Abstract: | In this paper, we focus on the approximate controllability of control systems described by a large class of fractional evolution hemivariational inequalities. Firstly, we introduce the concept of mild solutions and present the existence of mild solutions for this kind of problems. Next, we show the approximate controllability of the corresponding linear control system. Finally, the approximate controllability of the fractional evolution hemivariational inequalities is formulated and proved under some appropriate conditions. An example demonstrates the applicability of our results. Copyright © 2015 John Wiley & Sons, Ltd. |
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| Keywords: | approximate controllability hemivariational inequalities fractional differential mild solutions generalized Clarke subdifferential subclass 35R11 35R70 93B05 |
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