中国科学技术大学学报 ›› 2020, Vol. 50 ›› Issue (2): 106-114.DOI: 10.3969/j.issn.0253-2778.2020.02.004

• 论著 • 上一篇    下一篇

带有时滞的分数阶微分方程的边值问题的正解

胡秀林,张永军   

  1. 1.合肥学院人工智能与大数据学院,安徽合肥 230601;2.合肥学院经济与管理学院,安徽合肥 230601
  • 收稿日期:2018-12-19 修回日期:2019-05-05 接受日期:2019-05-05 出版日期:2020-02-28 发布日期:2019-05-05

Positive solutions to boundary value problems for fractional differential equations with time delays

  1. HU Xiulin, ZHANG Yongjun2
  • Received:2018-12-19 Revised:2019-05-05 Accepted:2019-05-05 Online:2020-02-28 Published:2019-05-05
  • Contact: ZHANG Yongjun
  • About author:HU Xiulin, female, born in 1981, master/associate Prof. Research field:Functional differential equations.E-mail: huxlxy@hfuu.edu.cn
  • Supported by:
    Supported by University Science Research Key Project of Anhui Province (KJ2018A0565), Fostering Master’s Degree Empowerment Point Project of Hefei University (2018xs03), Major Project of Humanities and Social Sciences of Anhui Province (SK2019ZD55), Operational Research High-Level Teaching Team of Anhui Province (2018jxtd049).

摘要: 研究了一类带有多点边值条件的奇异时滞分数阶微分方程的正解的存在性.利用Krasnosel’skii不动点定理,给出了边值问题正解存在的充分条件.

关键词: 奇异分数阶微分方程, 边值问题, 时滞, 正解, 不动点定理

Abstract: The existence of positive solutions for a class of

Key words: singular fractional differential equations, boundary value problems, time-delays, positive solutions, fixed point theorem

中图分类号: