Journal of Jilin University Science Edition ›› 2020, Vol. 58 ›› Issue (2): 261-270.

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Existence of Solutions for Integral Boundary  Value Problemsof Fractional Impulsive Functional Differential Equations#br#

LI Tingle, JIA Mei, LIU Xiping, ZHENG Wenjing   

  1. College of Science, University of Shanghai for Science and Technology, Shanghai 200093, China
  • Received:2019-07-18 Online:2020-03-26 Published:2020-03-25
  • Contact: JIA Mei E-mail:jiamei_usst@163.com

Abstract: By using Schauder fixed point theorem and contracting mapping principle, we studied the existence and uniqueness of solutions
 for integral boundary value problems of a class of fractional functional differential equations with impulses, obtained and proved the theorems of existence and uniqueness of solutions for the integral boundary value problems, and gave an example  to illustrate the applicability and validity of the conclusions.

Key words: functional differential equation, impulse, Caputo derivative, fixed point theorem, existence and uniqueness of solution

CLC Number: 

  • O175.8