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山东大学学报（理学版） ›› 2017, Vol. 52 ›› Issue (2): 66-72.doi: 10.6040/j.issn.1671-9352.0.2016.213

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分数阶脉冲微分方程三点边值问题解的存在性和唯一性

张莎,贾梅*,李燕,李晓晨   

  1. 上海理工大学理学院, 上海 200093
  • 收稿日期:2016-05-16 出版日期:2017-02-20 发布日期:2017-01-18
  • 通讯作者: 贾梅(1963— ), 女, 副教授, 研究方向为微分方程理论及应用. E-mail:jiamei-usst@163.com E-mail:935247750@qq.com
  • 作者简介:张莎(1991— ), 女, 硕士研究生, 研究方向为微分方程理论及应用. E-mail:935247750@qq.com
  • 基金资助:
    国家自然科学基金资助项目(11171220);沪江基金资助项目(B14005)

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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摘要： 研究了一类分数阶脉冲微分方程三点边值问题解的存在性和唯一性。 利用Schauder不动点定理及压缩映射原理,获得了该边值问题解的存在性和唯一性定理。

关键词: 三点边值问题, 分数阶脉冲微分方程, 不动点定理, 存在性与唯一性, Caputo导数

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

中图分类号: 

  • O175.8
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