Solvability and optimal controls for semilinear fractional evolution hemivariational inequalities

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• 作者：Liang Lu ; Zhenhai Liu ; Wei Jiang and Jinlian Luo
• 刊名：Mathematical Methods in the Applied Sciences
• 出版年：2016
• 出版时间：December 2016
• 年：2016
• 卷：39
• 期：18
• 页码：5452-5464
• 全文大小：242K
• ISSN：1099-1476

文摘

This paper is concerned with the control systems of semilinear fractional evolution hemivariational inequalities and their optimal controls in Banach space. Firstly, the existence of mild solutions is obtained and proved mainly by using a well-known fixed point theorem of multivalued maps and the properties of generalized Clarke subdifferential. Then, by applying generally mild conditions of cost functionals, we investigate the existence results of the optimal controls for fractional differential evolution hemivariational inequalities. Finally, an example is given to demonstrate the applicability of the main results. Copyright