MULTIPLE SOLUTIONS OF NONLINEAR FRACTIONAL DIFFERENTIAL EQUATIONS WITH p-LAPLACIAN OPERATOR AND NONLINEAR BOUNDARY CONDITIONS

被引：4

作者：

Liu, Yiliang ^{[1
,2
]}

Lu, Liang ^{[1
,2
]}

机构：

[1] Guangxi Univ Nationalities, Guangxi Key Lab Univ Optimizat Control & Engn Cal, Nanning 530006, Guangxi Provinc, Peoples R China

[2] Guangxi Univ Nationalities, Coll Sci, Nanning 530006, Guangxi Provinc, Peoples R China

来源：

MATHEMATICA SLOVACA | 2015年 / 65卷 / 01期

关键词：

Caputo fractional derivative; multiple solutions; p-Laplacian operator; upper and lower solutions; EXISTENCE; STABILITY; SYSTEMS;

D O I：

10.1515/ms-2015-0008

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we deal with multiple solutions of fractional differential equations with p-Laplacian operator and nonlinear boundary conditions. By applying the Amann theorem and the method of upper and lower solutions, we obtain some new results on the multiple solutions. An example is given to illustrate our results. (C) 2015 Mathematical Institute Slovak Academy of Sciences

引用

页码：79 / 92

页数：14

共 50 条

[41] Multiplicity of solutions for a p-Laplacian equation with nonlinear boundary conditions [J].

Zivari-Rezapour, Mohsen ;

Jalalvand, Mehdi .

COMPUTATIONAL METHODS FOR DIFFERENTIAL EQUATIONS, 2019, 7 (03) :475-479

[42] Existence and Uniqueness of Positive Solutions of a Kind of Multi-point Boundary Value Problems for Nonlinear Fractional Differential Equations with p-Laplacian Operator [J].

Jong, KumSong .

MEDITERRANEAN JOURNAL OF MATHEMATICS, 2018, 15 (03)

[43] Positive solutions for boundary value problem of fractional differential equation with p-Laplacian operator [J].

Chai, Guoqing .

BOUNDARY VALUE PROBLEMS, 2012,

[44] Existence and Uniqueness of Solutions for Several BVPs of Fractional Differential Equations with p-Laplacian Operator [J].

Shen, Tengfei ;

Liu, Wenbin ;

Shen, Xiaohui .

MEDITERRANEAN JOURNAL OF MATHEMATICS, 2016, 13 (06) :4623-4637

[45] SOLVABILITY FOR A CLASS OF NONLINEAR CAPUTO-HADAMARD FRACTIONAL DIFFERENTIAL EQUATIONS WITH p-LAPLACIAN OPERATOR IN BANACH SPACES [J].

Derbazi, Choukri .

FACTA UNIVERSITATIS-SERIES MATHEMATICS AND INFORMATICS, 2020, 35 (03) :693-711

[46] Multiple positive solutions and stability results for nonlinear fractional delay differential equations involving p$$ p $$-Laplacian operator [J].

Zhang, Lingling ;

Addai, Emmanuel .

MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2023, 46 (14) :14947-14961

[47] Multiple positive solutions for nonlinear fractional q-difference equation with p-Laplacian operator [J].

Qin, Zhongyun ;

Sun, Shurong ;

Han, Zhenlai .

TURKISH JOURNAL OF MATHEMATICS, 2022, 46 (01) :638-661

[48] Eigenvalue of Fractional Differential Equations with p-Laplacian Operator [J].

Wu, Wenquan ;

Zhou, Xiangbing .

DISCRETE DYNAMICS IN NATURE AND SOCIETY, 2013, 2013

[49] Multiplicity of positive solutions for Hadamard fractional differential equations with p-Laplacian operator [J].

Rao, Sabbavarapu Nageswara ;

Singh, Manoj ;

Meetei, M. Zico .

BOUNDARY VALUE PROBLEMS, 2020, 2020 (01)

[50] Existence of unique solution to switched fractional differential equations with p-Laplacian operator [J].

Guo, Xiufeng .

TURKISH JOURNAL OF MATHEMATICS, 2015, 39 (06) :864-871

← 1 2 3 4 5 →