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
收藏
页码：79 / 92
页数：14
相关论文
共 50 条
[31]   Positive solutions for a system of nonlinear fractional nonlocal boundary value problems with parameters and p-Laplacian operator [J].
Hao, Xinan ;
Wang, Huaqing ;
Liu, Lishan ;
Cui, Yujun .
BOUNDARY VALUE PROBLEMS, 2017,
[32]   MULTIPLICITY OF SOLUTIONS FOR THE NONCOOPERATIVE p-LAPLACIAN OPERATOR ELLIPTIC SYSTEM WITH NONLINEAR BOUNDARY CONDITIONS [J].
Liang, Sihua ;
Zhang, Jihui .
ESAIM-CONTROL OPTIMISATION AND CALCULUS OF VARIATIONS, 2012, 18 (04) :930-940
[33]   POSITIVE SOLUTIONS OF p-LAPLACIAN FRACTIONAL DIFFERENTIAL EQUATIONS WITH FRACTIONAL DERIVATIVE BOUNDARY CONDITION [J].
Haddouchi, F. .
SIBERIAN ELECTRONIC MATHEMATICAL REPORTS-SIBIRSKIE ELEKTRONNYE MATEMATICHESKIE IZVESTIYA, 2021, 18 (02) :1596-1614
[34]   Existence of solutions for fractional impulsive differential equations with p-Laplacian operator [J].
Zhenhai Liu ;
Liang Lu ;
Iván Szántó .
Acta Mathematica Hungarica, 2013, 141 :203-219
[35]   Positive solutions of p-Laplacian fractional differential equations with integral boundary value conditions [J].
Li, Yunhong ;
Li, Guogang .
JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS, 2016, 9 (03) :717-726
[36]   POSITIVE SOLUTIONS OF p-LAPLACIAN EQUATIONS WITH NONLINEAR BOUNDARY CONDITION [J].
Yang, Zuodong ;
Mo, Jing ;
Li, Subei .
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, 2011, 16 (02) :623-636
[37]   DYNAMICS OF THE p-LAPLACIAN EQUATIONS WITH NONLINEAR DYNAMIC BOUNDARY CONDITIONS [J].
Cheng, Xiyou ;
Wei, Lei .
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2015,
[38]   Multiple Solutions of Nonlinear Schrodinger Equation with the Fractional p-Laplacian [J].
Luo, Huxiao ;
Tang, Xianhua ;
Li, Shengjun .
TAIWANESE JOURNAL OF MATHEMATICS, 2017, 21 (05) :1017-1035
[39]   Existence results for m-point boundary value problems of nonlinear fractional differential equations with p-Laplacian operator [J].
Lv, Zhi-Wei .
ADVANCES IN DIFFERENCE EQUATIONS, 2014,
[40]   ON A SYSTEM OF FRACTIONAL DIFFERENTIAL EQUATIONS WITH p-LAPLACIAN OPERATORS AND INTEGRAL BOUNDARY CONDITIONS [J].
Luca, Rodica .
REVUE ROUMAINE DE MATHEMATIQUES PURES ET APPLIQUEES, 2021, 66 (3-4) :749-766
12345