Impulsive Problems for Fractional Partial Neutral Functional Integro-Differential Inclusions with Infinite Delay and Analytic Resolvent Operators

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• 作者：Zuomao Yan (1)
  Xiumei Jia (1)
  
• 关键词：34A37 ; 34K05 ; 34K30 ; 26A33 ; Impulsive integro ; differential inclusions ; fractional partial neutral integro ; differential inclusions ; analytic α ; resolvent operator ; infinite delay ; fixed point theorem
• 刊名：Mediterranean Journal of Mathematics
• 出版年：2014
• 出版时间：May 2014
• 年：2014
• 卷：11
• 期：2
• 页码：393-428
• 全文大小：
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• 作者单位：Zuomao Yan (1)
  Xiumei Jia (1)
  
  1. Department of Mathematics, Hexi University, Zhangye, Gansu, 734000, People’s Republic of China
  
• ISSN：1660-5454

文摘

In this paper, the existence of mild solutions for a class of impulsive fractional partial neutral functional integro-differential inclusions with infinite delay and analytic α-resolvent operators in Banach spaces is investigated. Sufficient conditions for the existence are derived with the help of the fixed-point theorem for discontinuous multi-valued operators due to Dhage and the fractional power of operators combined with approximation techniques. An example is provided to illustrate the theory.