Existence of solutions for fractional Langevin equation with infinite-point boundary conditions

被引：35

作者：

Li, Bingxian ^{[1
]}

Sun, Shurong ^{[1
]}

Sun, Ying ^{[1
]}

机构：

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

来源：

JOURNAL OF APPLIED MATHEMATICS AND COMPUTING | 2017年 / 53卷 / 1-2期

关键词：

Fractional Langevin equation; Infinite-point boundary value problem; ositive solutions; POSITIVE SOLUTIONS; ORDERS;

D O I：

10.1007/s12190-016-0988-9

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we investigate a class of nonlinear Langevin equation involving two fractional orders and with infinite-point boundary value conditions. By Leray-Schauder's nonlinear alternative and Leray-Schauder degree theory, several new existence results of solutions are obtained. An example is given to show the applicability of our main results.

引用

页码：683 / 692

页数：10

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