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山东大学学报(理学版) ›› 2015, Vol. 50 ›› Issue (03): 73-79.doi: 10.6040/j.issn.1671-9352.0.2014.140

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一类具有时滞的分数阶微分方程边值问题正解的存在性

郑春华1, 刘文斌2   

  1. 1. 陕西工业职业技术学院基础部, 陕西 咸阳 712000;
    2. 中国矿业大学数学系, 江苏 徐州 221116
  • 收稿日期:2014-04-08 修回日期:2014-09-26 出版日期:2015-03-20 发布日期:2015-03-13
  • 作者简介:郑春华(1982- ),男,硕士,讲师,研究方向为微分方程边值问题.E-mail:zhengchunhuaxuzhou@126.com
  • 基金资助:
    国家自然科学基金资助项目(11271364);陕西工院科研资助项目(zk13-40)

Existence of positive solutions of the boundary value problem for a class of fractional differential equations with delay

ZHENG Chun-hua1, LIU Wen-bin2   

  1. 1. Basic Department, Shaanxi Polytechnic Institute, Xianyang 712000, Shaanxi, China;
    2. Department of Mathematics, China University of Mining and Technology, Xuzhou 221116, Jiangsu, China
  • Received:2014-04-08 Revised:2014-09-26 Online:2015-03-20 Published:2015-03-13

摘要: 研究了一类具有时滞的分数阶微分方程两点边值问题解的存在性,利用一个锥上的不动点定理和一些分析技巧获得了该边值问题正解存在的充分条件,补充和完善了一些已有的结果。

关键词: 时滞, 锥, 不动点定理, 两点边值问题, 分数阶微分方程

Abstract: A class of fractional differential equation with two-point boundary value problem and delay is studied. By using a fixed point theorem on cones and some analysis technique, some sufficient conditions on the existence of solutions for this boundary value problem are obtained,Some known results are extended and improved.

Key words: delay, two-point boundary value problem, fixed point theorem, cone, fractioal order differential equation

中图分类号: 

  • O175.8
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