具分数微分算子的分数阶微分方程边值问题正解的存在性  

Existence of Positive Solutions for Boundary Value Problems of Fractional Differential Equations with Fractional Differential Operator

作　　者：邓雪静 刘锡平[1] 王晓[1] 

机构地区：[1]上海理工大学理学院,上海200093

出　　处：《吉林大学学报（理学版）》2015年第5期857-862,共6页Journal of Jilin University:Science Edition

基　　金：国家自然科学基金(批准号:11171220);沪江基金(批准号:B14005)

摘　　要：利用Leggett-Williams不动点定理和锥上不动点定理,研究一类具有分数线性微分算子的分数阶微分方程边值问题,得到了该边值问题至少1个正解和至少3个正解的存在性定理.We discussed the existence of positive solutions for a class of boundary value problems of fractional differential equation with fractional linear differential operator.Based on the LeggettWilliams fixed point theorem and the fixed point theorem in cones,the existence theorems of one positive solution or three positive solutions,existed at least,have been established,respectively.

关 键 词：分数线性微分算子 分数阶微分方程 边值问题 不动点定理 正解 

分 类 号：O175.8[理学—数学]