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山东大学学报（理学版） ›› 2016, Vol. 51 ›› Issue (8): 66-73.doi: 10.6040/j.issn.1671-9352.0.2015.352

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共振条件下分数阶微分方程积分边值问题解的存在性

苏小凤,贾梅*,李萌萌   

  1. 上海理工大学理学院, 上海 200093
  • 收稿日期:2015-07-27 出版日期:2016-08-20 发布日期:2016-08-08
  • 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:1205546468@qq.com
  • 作者简介:苏小凤(1987— ), 女, 硕士研究生, 研究方向为微分方程理论及应用. E-mail:1205546468@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 of solution for fractional differential equation integral boundary value problem at resonance

SU Xiao-feng, JIA Mei*, LI Meng-meng   

  1. College of Science, University of Shanghai for Science and Technology, Shanghai 200093, China
  • Received:2015-07-27 Online:2016-08-20 Published:2016-08-08

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摘要： 研究了一类共振条件下分数阶微分方程积分边值问题解的存在性。利用重合度理论,在dim Ker L=2时,建立并证明了边值问题解的存在性定理。

关键词: 分数阶微分方程, 共振, 积分边值问题, 重合度理论, Caputo导数

Abstract: Existence of solutions for a class of fractional differential equations with integral boundary conditions is studied at resonance. By using coincidence degree theory, we obtain and prove the theorem about existence of solutions for the integral boundary value problem with dim Ker L=2.

Key words: fractional differential equation, integral boundary value problem, resonance, coincidence degree theory, Caputo derivative

中图分类号: 

  • O175.8
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