吉林大学学报（理学版）2017，Vol.55Issue(1)：13-21,9.DOI:10.13413/j.cnki.jdxblxb.2017.01.03
无穷区间上含参数分数阶微分方程积分边值问题正解的存在性
Existence of Positive Solutions for Integral Boundary Value Problems of Fractional Differential Equations with Parameters in Infinite Interval
摘要
Abstract
We considered a class of integral boundary value problems of Riemann-Liouville fractional differential equations with parameters in the infinite interval.By using cone compression and cone expansion fixed point theorem,we established and proved the existence and nonexistence theorems of positive solutions for the boundary value problems in the infinite interval,and gave an application example.关键词
Riemann-Liouville分数阶导数/无穷区间/积分边值问题/L1-Carathéodory条件/不动点定理Key words
Riemann-Liouville fractional derivative/infinite interval/integral boundary value problem/L 1-Carathéodory condition/fixed point theorem分类
数理科学引用本文复制引用
李晓晨,刘锡平,李燕,张莎..无穷区间上含参数分数阶微分方程积分边值问题正解的存在性[J].吉林大学学报（理学版）,2017,55(1):13-21,9.基金项目
国家自然科学基金(批准号:11171220)和沪江基金(批准号:B14005). （批准号:11171220）
