应用数学2016,Vol.29Issue(1):1-6,6.
非线性分数阶微分方程积分边值问题的正解
Positive Solutions for Integral Boundary Value Problems of Nonlinear Fractional Differential Equations
摘要
Abstract
The paper is concerned with the existence of positive solutions for a class of nonlinear fractional differential equations involving integral boundary value problems,By using of KrasnoselskiiZabreiko fixed point theorem,several existence results are formulated in terms of some inequalities associated with Green's function.Moreover,an iterative sequence is established when the nonlinearity grows sublinearly at infinity.关键词
分数阶微分方程/边值问题/不动点定理/正解/迭代Key words
Fractional differential equation/Boundary value problem/Fixed point theorem/Positive solution/Iteration分类
数理科学引用本文复制引用
王勇..非线性分数阶微分方程积分边值问题的正解[J].应用数学,2016,29(1):1-6,6.基金项目
国家自然科学基金资助(61375004,11501252) (61375004,11501252)