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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
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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.
作者 沈春芳 梁艳 汪小玉
机构地区 合肥师范学院数学系
出处 《吉林大学学报（理学版）》 CAS CSCD 北大核心 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)
关键词 分数阶微分方程 正解 锥 不动点 fractional differential equation positive solution cone fixed point
分类号 O175.8 [理学—基础数学]
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参考文献10

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吉林大学学报（理学版）
2011年 第2期

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