Existence of positive solution to boundary value problem of fractional differential equations with p-Laplacian operator

被引：2
|
作者：
Tian, Yuansheng [1 ]
Li, Xiaoping [1 ]
机构：
[1] Xiangnan Univ, Dept Math, Chenzhou 423000, Hunan, Peoples R China
来源：
JOURNAL OF APPLIED MATHEMATICS AND COMPUTING | 2015年 / 47卷 / 1-2期
关键词：
Fractional differential equation; Boundary value problem; p-Laplacian operator; Positive solution;
D O I：
10.1007/s12190-014-0772-7
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we study the existence of positive solution to boundary value problem of fractional differential equations with p-Laplacian operator. By using some fixed-point theorems on a convex cone, the new existence results of positive solution are obtained. In addition, an example is included to demonstrate the main result.
引用
收藏
页码：237 / 248
页数：12
相关论文
共 50 条
  • [31] THE EXISTENCE OF SOLUTIONS OF INTEGRAL BOUNDARY VALUE PROBLEM FOR HILFER FRACTIONAL DIFFERENTIAL EQUATIONS WITH P-LAPLACIAN AT RESONANCE
    Meng, Fanmeng
    Jiang, Weihua
    Liu, Yujing
    Guo, Chunjing
    JOURNAL OF APPLIED ANALYSIS AND COMPUTATION, 2022, 12 (06): : 2268 - 2282
  • [32] Positive Solutions of Boundary Value Problems for p-Laplacian Fractional Differential Equations
    Fen, Fatma Tokmak
    Karaca, Ilkay Yaslan
    Ozen, Ozlem Batit
    FILOMAT, 2017, 31 (05) : 1265 - 1277
  • [33] EXISTENCE AND UNIQUENESS OF POSITIVE SOLUTIONS FOR INTEGRAL BOUNDARY PROBLEMS OF NONLINEAR FRACTIONAL DIFFERENTIAL EQUATIONS WITH p-LAPLACIAN OPERATOR
    Liang, Sihua
    Zhang, Jihui
    ROCKY MOUNTAIN JOURNAL OF MATHEMATICS, 2014, 44 (03) : 953 - 974
  • [34] Multiple positive solutions for four-point boundary value problem of fractional delay differential equations with p-Laplacian operator
    Li, Shuai
    Zhang, Zhixin
    Jiang, Wei
    APPLIED NUMERICAL MATHEMATICS, 2021, 165 : 348 - 356
  • [35] Existence of solutions of fractional boundary value problems with p-Laplacian operator
    Mahmudov, Nazim I.
    Unul, Sinem
    BOUNDARY VALUE PROBLEMS, 2015,
  • [36] Existence of solutions of fractional boundary value problems with p-Laplacian operator
    Nazim I Mahmudov
    Sinem Unul
    Boundary Value Problems, 2015
  • [37] POSITIVE SOLUTIONS FOR A NONLINEAR DISCRETE FRACTIONAL BOUNDARY VALUE PROBLEM WITH A P-LAPLACIAN OPERATOR
    Cheng, Wei
    Xu, Jiafa
    O'Regan, Donal
    Cui, Yujun
    JOURNAL OF APPLIED ANALYSIS AND COMPUTATION, 2019, 9 (05): : 1959 - 1972
  • [38] Existence of solutions for fractional impulsive differential equations with p-Laplacian operator
    Zhenhai Liu
    Liang Lu
    Iván Szántó
    Acta Mathematica Hungarica, 2013, 141 : 203 - 219
  • [39] EXISTENCE OF SOLUTIONS FOR FRACTIONAL IMPULSIVE DIFFERENTIAL EQUATIONS WITH p-LAPLACIAN OPERATOR
    Liu, Z.
    Lu, L.
    Szanto, I.
    ACTA MATHEMATICA HUNGARICA, 2013, 141 (03) : 203 - 219
  • [40] Existence and boundary behavior of positive solution for a Sturm–Liouville fractional problem with p-laplacian
    Abdelwaheb Dhifli
    Bilel Khamessi
    Journal of Fixed Point Theory and Applications, 2017, 19 : 2763 - 2784
12345