Sum operator methods for the existence and uniqueness of solution to infinite-point boundary value problems for fractional differential equations

被引：1

作者：

Wang, Yupin ^{[1
]}

Sun, Shurong ^{[1
]}

机构：

[1] Univ Jinan, Sch Math Sci, Jinan 250022, Shandong, Peoples R China

来源：

INTERNATIONAL JOURNAL OF DYNAMICAL SYSTEMS AND DIFFERENTIAL EQUATIONS | 2018年 / 8卷 / 03期

关键词：

existence and uniqueness; fractional differential equation; Krasnoselskii's fixed point theorem; positive solution;

D O I：

10.1504/IJDSDE.2018.092662

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we study infinite-point boundary value problems for a class of higher-order nonlinear factional differential equations involving the Riemann-Liouville derivative. By using sum operator methods, the existence and uniqueness of solution to this kind of problems is obtained and iterative sequence of the positive solution is structured. Two examples are provided for our new results.

引用

页码：161 / 175

页数：15

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