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

页码：351 / 366

页数：16

共 32 条

[31] The uniqueness of positive solution for a fractional order model of turbulent flow in a porous medium
Zhang, Xinguang
Liu, Lishan
Wu, Yonghong
[J]. APPLIED MATHEMATICS LETTERS, 2014, 37 : 26 - 33
[32] The eigenvalue for a class of singular p-Laplacian fractional differential equations involving the Riemann-Stieltjes integral boundary condition
Zhang, Xinguang
Liu, Lishan
Wiwatanapataphee, Benchawan
Wu, Yonghong
[J]. APPLIED MATHEMATICS AND COMPUTATION, 2014, 235 : 412 - 422

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