Existence and controllability results for stochastic fractional evolution hemivariational inequalities

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• 作者：Liang Lu ; ^a ; ^b ; ^c ; ^{gxluliang@163.com" class="auth_mail" title="E-mail the corresponding author} ; ^{uioop123@qq.com" class="auth_mail" title="E-mail the corresponding author} ; Zhenhai Liu^b ; ^{zhhliu100@126.com" class="auth_mail" title="E-mail the corresponding author}
• 关键词：Existence of mild solutions ; Controllability ; Stochastic fractional evolution equations ; Hemivariational inequalities ; Generalized Clarke subdifferential
• 刊名：Applied Mathematics and Computation
• 出版年：2015
• 出版时间：1 October 2015
• 年：2015
• 卷：268
• 期：Complete
• 页码：1164-1176
• 全文大小：381 K

文摘

In this paper, we study a class of stochastic evolution hemivariational inequalities with fractional derivative. The existence of mild solutions and controllability results are obtained by applying fractional calculation, stochastic analysis techniques, a fixed point theorem of multivalued maps and properties of generalized Clarke subdifferential. An example is included to show the applicability of our results.