吉林大学学报（理学版）2018，Vol.56Issue(1)：6-14,9.DOI:10.13413/j.cnki.jdxblxb.2018.01.02
一类分数阶微分方程三点边值问题正解的存在性与不存在性
Existence and Nonexistence of Positive Solutions of Three-Point Boundary Value Problems for a Class of Fractional Differential Equations
摘要
Abstract
Using the fixed point theorem of cone expansion and cone compression ,we investigated three-point boundary value problem for a class of Riemann-Liouville fractional differential equation with two disturbance parameters .We established and proved the existence theorem and nonexistence theorem of positive solutions of the problem .The results show the parameters affect the existence of positive solutions .关键词
Riemann-Liouville型分数阶导数/扰动参数/L1-Carathéodory条件/正解/不动点定理Key words
Riemann-Liouville fractional derivative/disturbance parameter/L1-Carathéodory condition/positive solution/fixed point theorem分类
数理科学引用本文复制引用
何健堃,贾梅,陈辉..一类分数阶微分方程三点边值问题正解的存在性与不存在性[J].吉林大学学报（理学版）,2018,56(1):6-14,9.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）
