Nonlinear fractional differential equations with nonlocal integral boundary conditions

被引：1

作者：

Liu, Suli ^{[1
]}

Li, Huilai ^{[1
]}

Dai, Qun ^{[2
]}

机构：

[1] Jilin Univ, Sch Math, Changchun 130012, Peoples R China

[2] Changchun Univ Sci & Technol, Coll Sci, Changchun 130022, Peoples R China

来源：

ADVANCES IN DIFFERENCE EQUATIONS | 2015年

关键词：

fractional differential equation; integral boundary condition; iterative sequence; POSITIVE SOLUTIONS; EXISTENCE;

D O I：

10.1186/s13662-015-0534-3

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper concerns the boundary value problem of a class of fractional differential equations involving the Riemann-Liouville fractional derivative with nonlocal integral boundary conditions. By using the properties of the Green's function and the monotone iteration technique, one shows the existence of positive solutions and constructs two successively iterative sequences to approximate the solutions, especially numerically simulates the conclusion by an example.

引用

页数：11

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