A generalized Gronwall inequality and its application to fractional neutral evolution inclusions

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• 作者：Zufeng Zhang ; Zhangzhi Wei
• 关键词：26A33 ; 34A60 ; 34G25 ; generalized Gronwall inequality ; fractional neutral evolution inclusions ; mild solution ; analytic semigroup
• 刊名：Journal of Inequalities and Applications
• 出版年：2016
• 出版时间：December 2016
• 年：2016
• 卷：2016
• 期：1
• 全文大小：1,611 KB
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• 作者单位：Zufeng Zhang (1) (2)
  Zhangzhi Wei (1) (2)
  
  1. Laboratory of Intelligent Information Processing, Suzhou University, Suzhou, Anhui, 234000, P.R. China
  2. School of Mathematics and Statistics, Suzhou University, Suzhou, Anhui, 234000, P.R. China
  
• 刊物主题：Analysis; Applications of Mathematics; Mathematics, general;
• 出版者：Springer International Publishing
• ISSN：1029-242X

文摘

This paper deals with the fractional neutral evolution differential inclusions. The existence results are established by using the fractional power of operators and a fixed point theorem for multivalued map. Moreover, we present a new generalized Gronwall inequality with singularity, which is an important tool in the proof of solvability. Keywords generalized Gronwall inequality fractional neutral evolution inclusions mild solution analytic semigroup