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非线性分数阶微分方程积分边值问题的正解

王勇

应用数学2016,Vol.29Issue(1):1-6,6.
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

王勇1

作者信息

  • 1. 江南大学理学院,江苏无锡214122
  • 折叠

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)

应用数学

OA北大核心CSCDCSTPCD

1001-9847

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