JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2017, Vol. 52 ›› Issue (2): 66-72.doi: 10.6040/j.issn.1671-9352.0.2016.213

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Existence and uniqueness of solutions for three point boundary value problems of impulsive fractional differential equations

ZHANG Sha, JIA Mei*, LI Yan, LI Xiao-chen   

  1. College of Science, University of Shanghai for Science and Technology, Shanghai 200093, China
  • Received:2016-05-16 Online:2017-02-20 Published:2017-01-18

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Abstract: The existence and uniqueness of solutions is investigated for a class of three point boundary value problems of fractional differential equations with impulsive. By using the Schauder fixed point theorem and contraction mapping principle, some theorems about the existence and uniqueness of solutions for the boundary value problem are obtained.

Key words: three-point boundary value problem, Caputo derivative, fixed point theorem, existence and uniqueness, impulsive fractional differential equations

CLC Number: 

  • O175.8
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