EXISTENCE AND MULTIPLICITY OF POSITIVE SOLUTIONS FOR A SYSTEM OF NONLINEAR FRACTIONAL MULTI-POINT BOUNDARY VALUE PROBLEMS WITH P-LAPLACIAN OPERATOR

被引：9
作者：
Han, Wang [1 ]
Jiang, Jiqiang [1 ]
机构：
[1] Qufu Normal Univ, Sch Math Sci, 57 Jingxuan West, Qufu 273165, Shandong, Peoples R China
来源：
JOURNAL OF APPLIED ANALYSIS AND COMPUTATION | 2021年 / 11卷 / 01期
基金：
中国国家自然科学基金;
关键词：
fractional differential system; p-Laplacian operator; coupled boundary conditions; fixed point theorem; DIFFERENTIAL-EQUATION; UNIQUENESS;
D O I：
10.11948/20200021
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we deal with a coupled system of nonlinear fractional multi-point boundary value problems with p-Laplacian operator. The existence and multiplicity of positive solutions are obtained by employing Leray-Schauder alternative theory, Leggett-Williams fixed point theorem and Avery-Henderson fixed point theorem. As an application, two examples are given to illustrate the effectiveness of our main results.
引用
收藏
页码：351 / 366
页数：16
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