Existence of solutions for impulsive fractional Langevin functional differential equations with variable parameter

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• 作者：Haihua Wang ; Xiaoyan Lin
• 关键词：Functional differential equations ; Existence ; Mixed fractional derivatives ; Mittag ; Leffler functions
• 刊名：Revista de la Real Academia de Ciencias Exactas, Fisicas y Naturales. Serie A. Matematicas
• 出版年：2016
• 出版时间：March 2016
• 年：2016
• 卷：110
• 期：1
• 页码：79-96
• 全文大小：511 KB
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• 作者单位：Haihua Wang (1)
  Xiaoyan Lin (2)
  
  1. Department of Mathematics, Hunan University of Science and Technology, Xiangtan, 411201, People’s Republic of China
  2. Department of Mathematics, Huaihua College, Huaihua, 418000, People’s Republic of China
  
• 刊物类别：Mathematics and Statistics
• 出版者：Springer Milan
• ISSN：1579-1505

文摘

In this paper, by using some fixed point theorems, we discuss a class of impulsive fractional Langevin functional differential equations with mixed fractional derivatives and variable parameter. The existence of solutions are obtained. Examples are also given to illustrate our theoretical results.