具复杂非线性项分数阶微分方程多点边值问题的正解  

On Positive Solutions for Multi-point BVPs of Fractional Differential Equation with Complex Nonlinearity

作　　者：沈春芳[1] 梁艳[1] 汪小玉[1] 

机构地区：[1]合肥师范学院数学系,合肥230601

出　　处：《吉林大学学报（理学版）》2011年第2期223-227,共5页Journal of Jilin University:Science Edition

基　　金：安徽省教育厅高校自然科学研究项目(批准号:KJ2010B163)和安徽省教育厅优秀人才科研项目(批准号:2009SQRZ1562009SQRZ155)

摘　　要：利用范数形式的锥拉伸锥压缩不动点定理,给出一类分数阶微分方程三点边值问题正解存在的充分条件,其中所讨论问题的非线性项含有未知函数的分数阶导数项.The positive solution of a class of three-point boundary value problems of fractional differential equation with complex nonlinearity is established on the basis of fixed point theorem on cones.It is noted that the fractional derivative term is involved in the nonlinear term explicitly.

关 键 词：分数阶微分方程 正解 锥 不动点 

分 类 号：O175.8[理学—数学]