Solvability for a Coupled System of Fractional p-Laplacian Differential Equations at Resonance

被引：0

作者：

Zhou Hui ^{[1
,2
]}

Zhou Zong-fu ^{[2
]}

Wang Li-ping ^{[2
]}

机构：

[1] School of Mathematics and Statistics,Hefei Normal University

[2] School of Mathematical Science,Anhui University

来源：

CommunicationsinMathematicalResearch | 2017年 / 33卷 / 01期

关键词：

p-Laplacian; coincidence degree; existence; fractional differential equation; boundary value problem;

D O I：

10.13447/j.1674-5647.2017.01.05

中图分类号：

O175.8 [边值问题];

学科分类号：

070104 ;

摘要：

In this paper,by using the coincidence degree theory,the existence of solutions for a coupled system of fractional p-Laplacian differential equations at resonance is studied.The result obtained in this paper extends some known results.An example is given to illustrate our result.

引用

页码：33 / 52

页数：20

共 50 条

[1] Solvability of fractional differential equations with p-Laplacian at resonance
Jiang, Weihua
APPLIED MATHEMATICS AND COMPUTATION, 2015, 260 : 48 - 56
[2] Solvability for fractional p-Laplacian differential equations with multipoint boundary conditions at resonance on infinite interval
Zhou, Hui
Yang, Liu
Agarwal, Praveen
JOURNAL OF APPLIED MATHEMATICS AND COMPUTING, 2017, 53 (1-2) : 51 - 76
[3] BOUNDARY VALUE PROBLEM FOR A COUPLED SYSTEM OF FRACTIONAL DIFFERENTIAL EQUATIONS WITH p-LAPLACIAN OPERATOR AT RESONANCE
Cheng, Lingling
Liu, Wenbin
Ye, Qingqing
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2014,
[4] Solvability for fractional p-Laplacian differential equations with multipoint boundary conditions at resonance on infinite interval
Hui Zhou
Liu Yang
Praveen Agarwal
Journal of Applied Mathematics and Computing, 2017, 53 : 51 - 76
[5] Solvability of Fractional Differential Equations with p-Laplacian and Functional Boundary Value Conditions at Resonance
Sun, Bingzhi
Jiang, Weihua
Zhang, Shuqin
MEDITERRANEAN JOURNAL OF MATHEMATICS, 2022, 19 (01)
[6] Multiplicity for fractional differential equations with p-Laplacian
Tian, Yuansheng
Wei, Yongfang
Sun, Sujing
BOUNDARY VALUE PROBLEMS, 2018,
[7] Solvability for a coupled system of fractional differential equations at resonance
Jiang, Weihua
NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2012, 13 (05) : 2285 - 2292
[8] Existence of solutions for a coupled system of fractional p-Laplacian equations at resonance
Hu, Zhigang
Liu, Wenbin
Liu, Jiaying
ADVANCES IN DIFFERENCE EQUATIONS, 2013,
[9] Existence of solutions for a coupled system of fractional p-Laplacian equations at resonance
Zhigang Hu
Wenbin Liu
Jiaying Liu
Advances in Difference Equations, 2013
[10] On the solvability of a boundary value problem for p-Laplacian differential equations
Kelevedjiev, Petio
Bojerikov, Silvestar
ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS, 2017, (08) : 1 - 9

← 1 2 3 4 5 →