分数阶微分方程积分边值问题正解的存在性

J4 ›› 2011, Vol. 49 ›› Issue (05): 823-828.

分数阶微分方程积分边值问题正解的存在性

金京福, 刘锡平, 窦丽霞, 王平友

上海理工大学理学院, 上海 200093

收稿日期:2010-12-13 出版日期:2011-09-26 发布日期:2011-09-27
通讯作者: 刘锡平 E-mail:xipingliu@163.com

Existence of Positive Solutions for a Class of Fractional Differential Equation with Integral Boundary Value Problems

JIN Jingfu, LIU Xiping, DOU Lixia, WANG Pingyou

College of Science, University of Shanghai for Science and Technology, Shanghai 200093, China

Received:2010-12-13 Online:2011-09-26 Published:2011-09-27
Contact: LIU Xiping E-mail:xipingliu@163.com

摘要/Abstract

摘要：

利用锥上不动点定理, 研究一类分数阶微分方程积分边值问题正解的存在性, 得到了边值问题至少存在一个正解的充分条件, 并给出了应用实例.

关键词: 分数阶微分方程；积分边值问题, Caputo型分数阶导数；锥上不动点定理；正解

Abstract:

The authors investigated the existence of positive solutions of the boundary value problems for fractional differential equation with integral boundary conditions. By using the fixed point theorem in cones, some new results of existence of at least one positive solution for the boundary value problem were obtained. Corresponding examples were presented to illustrate the application of the main results.

Key words: fractional differential equation, integral boundary value problem, Caputo fractional derivative, fixed point theorem in cones； positive solutions

中图分类号:

O175.8

金京福, 刘锡平, 窦丽霞, 王平友. 分数阶微分方程积分边值问题正解的存在性[J]. J4, 2011, 49(05): 823-828.

JIN Jing-Fu, LIU Ti-Beng, DOU Li-Xia, WANG Beng-You. Existence of Positive Solutions for a Class of Fractional Differential Equation with Integral Boundary Value Problems[J]. J4, 2011, 49(05): 823-828.