Approximate controllability of semilinear evolution equations of fractional order with nonlocal and impulsive conditions via an approximating technique

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• 作者：Fu-Dong Ge^a ; Hua-Cheng Zhou ; ^b ; ^{hczhou@amss.ac.cn" class="auth_mail" title="E-mail the corresponding author} ; Chun-Hai Kou^c
• 关键词：Fractional evolution equations ; Impulsive conditions ; Nonlocal conditions ; C0-semigroup ; Approximate controllability
• 刊名：Applied Mathematics and Computation
• 出版年：2016
• 出版时间：15 February 2016
• 年：2016
• 卷：275
• 期：Complete
• 页码：107-120
• 全文大小：388 K

文摘

This paper is concerned with the approximate controllability of the semilinear fractional evolution equations with nonlocal and impulsive conditions. Our main results are obtained by utilizing the technique of approximate solution and the theory of fixed point. In addition, the impulsive functions in this paper are supposed to be continuous and the nonlocal item is divided into two cases: Lipschitz continuous and only continuous, which generalizes the previous contributions. Finally two examples are worked out to illustrate our obtained results.