Positive solutions for a system of fractional differential equations with p-Laplacian operator and multi-point boundary conditions

被引：27

作者：

Luca, Rodica ^{[1
]}

机构：

[1] Gh Asachi Tech Univ, Dept Math, Iasi 700506, Romania

来源：

NONLINEAR ANALYSIS-MODELLING AND CONTROL | 2018年 / 23卷 / 05期

关键词：

Riemann-Liouville fractional differential equations; p-Laplacian operator; multi-point boundary conditions; positive solutions; existence; nonexistence;

D O I：

10.15388/NA.2018.5.8

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We investigate the existence and nonexistence of positive solutions for a system of nonlinear Riemann-Liouville fractional differential equations with parameters and p-Laplacian operator subject to multi-point boundary conditions, which contain fractional derivatives. The proof of our main existence results is based on the Guo-Krasnosel'skii fixed-point theorem.

引用

页码：771 / 801

页数：31

共 50 条

[1] Positive solutions for multi-point boundary value problems of fractional differential equations with p-Laplacian
Li, Yunhong
Qi, Anbin
[J]. MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2016, 39 (06) : 1425 - 1434
[2] Fractional p-Laplacian differential equations with multi-point boundary conditions in Banach spaces
Srivastava, H. M.
Abbas, Mohamed I.
Boutiara, Abdellatif
Hazarika, Bipan
[J]. REVISTA DE LA REAL ACADEMIA DE CIENCIAS EXACTAS FISICAS Y NATURALES SERIE A-MATEMATICAS, 2023, 117 (02)
[3] Fractional p-Laplacian differential equations with multi-point boundary conditions in Banach spaces
H. M. Srivastava
Mohamed I. Abbas
Abdellatif Boutiara
Bipan Hazarika
[J]. Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas, 2023, 117
[4] Existence and Uniqueness of Positive Solutions of a Kind of Multi-point Boundary Value Problems for Nonlinear Fractional Differential Equations with p-Laplacian Operator
Jong, KumSong
[J]. MEDITERRANEAN JOURNAL OF MATHEMATICS, 2018, 15 (03)
[5] Existence and Uniqueness of Positive Solutions of a Kind of Multi-point Boundary Value Problems for Nonlinear Fractional Differential Equations with p-Laplacian Operator
KumSong Jong
[J]. Mediterranean Journal of Mathematics, 2018, 15
[6] Multiple positive solutions for a coupled system of fractional multi-point BVP with p-Laplacian operator
Yang Liu
Dapeng Xie
Chuanzhi Bai
Dandan Yang
[J]. Advances in Difference Equations, 2017
[7] Multiple positive solutions for a coupled system of fractional multi-point BVP with p-Laplacian operator
Liu, Yang
Xie, Dapeng
Bai, Chuanzhi
Yang, Dandan
[J]. ADVANCES IN DIFFERENCE EQUATIONS, 2017,
[8] EXISTENCE AND MULTIPLICITY OF POSITIVE SOLUTIONS FOR A SYSTEM OF NONLINEAR FRACTIONAL MULTI-POINT BOUNDARY VALUE PROBLEMS WITH P-LAPLACIAN OPERATOR
Han, Wang
Jiang, Jiqiang
[J]. JOURNAL OF APPLIED ANALYSIS AND COMPUTATION, 2021, 11 (01): : 351 - 366
[9] MONOTONE POSITIVE SOLUTIONS FOR p-LAPLACIAN EQUATIONS WITH SIGN CHANGING COEFFICIENTS AND MULTI-POINT BOUNDARY CONDITIONS
Xia, Jianye
Liu, Yuji
[J]. ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2010,
[10] Positive solutions to p-Laplacian fractional differential equations with infinite-point boundary value conditions
Wang, Han
Liu, Suli
Li, Huilai
[J]. ADVANCES IN DIFFERENCE EQUATIONS, 2018,

← 1 2 3 4 5 →