Positive solutions for an infinite system of fractional order boundary value problems

被引：18

作者：

Wang, Fuli ^{[1
]}

Cui, Yujun ^{[2
,3
]}

机构：

[1] Changzhou Univ, Sch Math & Phys, Changzhou, Peoples R China

[2] Shandong Univ Sci & Technol, State Key Lab Min Disaster Prevent & Control Cofo, Qingdao, Shandong, Peoples R China

[3] Shandong Univ Sci & Technol, Minist Sci & Technol, Qingdao, Shandong, Peoples R China

来源：

ADVANCES IN DIFFERENCE EQUATIONS | 2019年 / 2019卷 / 1期

关键词：

Infinite system; Banach sequence spaces; Positive solution; Fractional order boundary value problems; SOLVABILITY;

D O I：

10.1186/s13662-019-2111-7

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we investigate the existence of positive solutions for an infinite system of fractional order boundary value problems in a Banach sequence space c. Our analysis relies on the Krasnosel'skii fixed point theorem in a cone in conjunction with the criterion of relative compactness in C1(J,c). Finally, an example is given to illustrate our abstract results.

引用

页数：11

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