吉林大学学报(理学版) ›› 2020, Vol. 58 ›› Issue (2): 261-270.

• 数学 • 上一篇    下一篇

分数阶脉冲泛函微分方程积分边值问题解的存在性

李庭乐, 贾梅, 刘锡平, 郑雯静   

  1. 上海理工大学 理学院, 上海 200093
  • 收稿日期:2019-07-18 出版日期:2020-03-26 发布日期:2020-03-25
  • 通讯作者: 贾梅 E-mail:jiamei_usst@163.com

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

摘要: 运用Schauder不动点定理及压缩映射原理, 研究一类含有脉冲的分数阶泛函微分方程积分边值问题解的存在性与唯一性, 得到并证明了该积分边值问题解的存在性与唯一性定理, 并给出实例验证所得结论的适用性和有效性.

关键词: 泛函微分方程, 脉冲, Caputo导数, 不动点定理, 解的存在性与唯一性

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

中图分类号: 

  • O175.8