非线性多阶分数阶微分方程组正解的存在性  

Existence of Positive Solutions for a Multi-order Nonlinear Fractional Differential System

作　　者：代群[1] 李辉来[2] 孙艳[1] 高瑞梅[1] 

机构地区：[1]长春理工大学理学院,长春130022 [2]吉林大学数学学院,长春130012

出　　处：《吉林大学学报（理学版）》2018年第1期1-5,共5页Journal of Jilin University:Science Edition

基　　金：国家自然科学基金(批准号:11501051)

摘　　要：应用增算子不动点定理和锥拉伸压缩不动点定理研究一类非线性多阶分数阶微分方程组的正解,得到了该方程组正解的存在性.Using the fixed point theorems of increasing operator and the fixed point theorem of cone expansion and cone compression, we studied the positive solutions of a class of multi-order fractional differential equations, and obtained the existence of positive solutions of the equations.

关 键 词：非线性方程组 CAPUTO分数阶导数 正解 不动点定理 

分 类 号：O175.1[理学—数学]