Existence and continuous dependence of mild solutions for fractional neutral abstract evolution equations

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• 作者：Jianxin Cao (1)
  Haibo Chen (2)
  Weifeng Yang (1)
  
  1. Faculty of Science ; Hunan Institute of Engineering ; Fuxing east Road ; Xiangtan ; 411104 ; China
  2. Department of Mathematics ; Central South University ; Shaoshang south Road ; Changsha ; 410075 ; China
  
• 关键词：fractional neutral differential equations ; nonlocal conditions ; infinite delay ; mild solutions ; resolvent operators
• 刊名：Advances in Difference Equations
• 出版年：2015
• 出版时间：December 2015
• 年：2015
• 卷：2015
• 期：1
• 全文大小：1,189 KB
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• 刊物主题：Difference and Functional Equations; Mathematics, general; Analysis; Functional Analysis; Ordinary Differential Equations; Partial Differential Equations;
• 出版者：Springer International Publishing
• ISSN：1687-1847

文摘

This paper is mainly concerned with the existence, uniqueness and continuous dependence of mild solutions for fractional neutral functional differential equation with nonlocal initial conditions and infinite delay. The results are obtained by means of the classical fixed point theorems combined with theory of resolvent operators for integral equations.