分数阶微分方程反周期边值问题解的存在性

J4 ›› 2012, Vol. 47 ›› Issue (6): 5-9.

分数阶微分方程反周期边值问题解的存在性

方海琴,刘锡平*,林乐刚

上海理工大学理学院, 上海 200093

收稿日期:2012-03-07 出版日期:2012-06-20 发布日期:2012-06-26
通讯作者: 刘锡平(1962- ),男,教授,研究方向为常微分方程理论及应用. Email:xipingliu@163.com
作者简介:方海琴(1988- ), 女, 硕士研究生, 研究方向为常微分方程理论及应用. Email:fang-hai-qin@163.com
基金资助:
上海市教委科研创新基金重点项目(10ZZ93);国家自然科学基金资助项目(11171220)

Existence of a solution for anti-periodic boundary value problems of fractional differential equations

FANG Hai-qin, LIU Xi-ping*, LIN Le-gang

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

Received:2012-03-07 Online:2012-06-20 Published:2012-06-26

摘要/Abstract

摘要：

研究了一类在非线性项中含有未知函数分数导数的分数阶微分方程反周期边值问题解的存在性。利用Schauder不动点定理及压缩映射原理,在非线性项有界和无界的情况下,分别研究了反周期边值问题解存在的条件,最后得到了关于分数微分方程反周期的多个存在性定理。

关键词: 分数阶微分方程; 反周期边值问题;压缩映射原理

Abstract:

The existence of solutions for anti-periodic boundary value problems of fractional differential equations are studied which include fractional derivatives of unknown function in the nonlinear term. In the case of the nonlinear term bounded and unbounded, the existence conditions of anti-periodic boundary value problems by means of Schauder fixed point theorem and contraction mapping principle are studied. Some existence results for the anti-periodic boundary value problems are obtained.

Key words: fractional differential equations; anti-periodic boundary value problems; contraction mapping principle

方海琴,刘锡平*,林乐刚. 分数阶微分方程反周期边值问题解的存在性[J]. J4, 2012, 47(6): 5-9.

FANG Hai-qin, LIU Xi-ping*, LIN Le-gang. Existence of a solution for anti-periodic boundary value problems of fractional differential equations[J]. J4, 2012, 47(6): 5-9.

参考文献

多维度评价

Viewed

Full text

Abstract

Cited

Shared

Discussed