Journal of Jilin University Science Edition

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Existence of Solutions for Impulsive FractionalDifferential Equations on Unbounded Domains

QIN Baoxia1, LIU Wenbin2   

  1. 1. School of Mathematics, Qilu Normal University, Jinan 250200, China;2. College of Sciences, China University of Mining and Technology, Xuzhou 221116, Jiangsu Province, China
  • Received:2015-05-06 Online:2016-01-26 Published:2016-01-19
  • Contact: LIU Wenbin E-mail:wblium@163.com

Abstract:

Using compactness of a modified criterion and the Schauder fixed point theorem, we investigated the initial value problem for a class of fractional differential equations with an infinite number of impulses in Banach space, and obtained the existence of  solutions of this kind of equation.

Key words: fractional differential equation, Caputo fractional derivative, impulsive, Schauder fixed point theorem

CLC Number: 

  • O175.6