Existence results for fractional integral boundary value problem involving fractional derivatives on an infinite interval

被引：32

作者：

Hao, Xinan ^{[1
]}

Sun, Hui ^{[1
]}

Liu, Lishan ^{[1
,2
]}

机构：

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

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

来源：

MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2018年 / 41卷 / 16期

基金：

中国博士后科学基金; 中国国家自然科学基金;

关键词：

fixed point theorem; fractional differential equation; infinite interval; integral boundary value problem; POSITIVE EXTREMAL SOLUTIONS; DIFFERENTIAL-EQUATIONS; INTEGRODIFFERENTIAL EQUATIONS; SUCCESSIVE ITERATIONS; UNBOUNDED-DOMAINS;

D O I：

10.1002/mma.5210

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we study a integral boundary value problem of fractional differential equation with the nonlinearity depending on fractional derivatives of lower order on an infinite interval. We establish a proper compactness criterion in a special function space. By using the Schauder fixed point theorem and Banach contraction mapping principle, we show the existence and uniqueness results of solutions. Two examples are also provided to illustrate the main results. The results obtained generalize and include some known results.

引用

页码：6984 / 6996

页数：13

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