Uniqueness and existence of positive solutions for the fractional integro-differential equation

被引：83

作者：

Wang, Ying ^{[1
]}

Liu, Lishan ^{[2
,3
]}

机构：

[1] Linyi Univ, Sch Sci, Linyi 276000, Shandong, Peoples R China

[2] Qufu Normal Univ, Sch Math Sci, Qufu 273165, Shandong, Peoples R China

[3] Curtin Univ, Dept Math & Stat, Perth, WA 6845, Australia

来源：

BOUNDARY VALUE PROBLEMS | 2017年

基金：

中国国家自然科学基金;

关键词：

fractional integro-differential equation; integral conditions; uniqueness; existence; BOUNDARY-VALUE PROBLEM; DIFFERENTIAL-EQUATIONS; SYSTEM; MODEL;

D O I：

10.1186/s13661-016-0741-1

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we study the uniqueness and existence of positive solutions for the fractional integro-differential equation with the integral boundary value problem. By means of the Banach contraction principle and the Krasnoselskii fixed point theorem, the sufficient conditions on the uniqueness and existence of positive solutions are investigated. An example is given to illustrate the main results.

引用

页数：17

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