井冈山大学学报(自然科学版)Issue(1):11-16,6.DOI:10.3969/j.issn.1674-8085.2013.01.003
一类分数阶微分方程积分三点边值问题的正解
EXISTENCE OF POSITIVE SOLUTIONS FOR A CLASS OF FRACTIONAL DIFFERENTIAL EQUATIONS OF THREE-POINT INTEGRAL BOUNDARY VALUE PROBLEM
摘要
Abstract
We study the three-point integral boundary value problems for nonlinear fractional differential equations. Based on the Krasnoselskii fixed-point theory, we obtain two sufficient conditions for the existence of at least one positive solution for this problem. These results extend the corresponding ones of ordinary differential equations of integer order.关键词
分数阶微分方程/积分三点边值问题/Krasnoselskii不动点理论/正解/存在性Key words
fractional differential equations/three-point integral boundary value problems/Krasnoselskii fixed-point theory/positive solution/existence分类
数理科学引用本文复制引用
汤小松,刘清..一类分数阶微分方程积分三点边值问题的正解[J].井冈山大学学报(自然科学版),2013,(1):11-16,6.基金项目
江西省自然科学青年基金项目(20114BAB211015) (20114BAB211015)