Existence and uniqueness of solutions for singular fractional differential equation boundary value problem with p-Laplacian

被引:0
|
作者
Zhonghua Liu
Youzheng Ding
Chengwei Liu
Caiyi Zhao
机构
[1] Linyi University,Yishui Campus
[2] Shandong Jianzhu University,School of Science
[3] Linyi University,School of Automation and Electrical Engineering
关键词
Fractional differential equation; Monotone iterative technique; Nonlinear boundary condition; Upper and lower solutions; 26A33; 34B15; 34A08;
D O I
暂无
中图分类号
学科分类号
摘要
In this paper, we prove the existence and uniqueness of solutions for a singular fractional differential equation boundary value problem with p-Laplacian operator. The main results of this paper are obtained by constructing the monotone iterative sequences of upper and lower solutions and applying the comparison result. Finally, we also provide an illustrative example in support of the existence theorem. Our results generalize some related results in the literature.
引用
收藏
相关论文
共 50 条
  • [21] Positive solutions for a class of singular fractional boundary value problem with p-Laplacian
    Panigrahi, Saroj
    Kumar, Raghvendra
    JOURNAL OF APPLIED ANALYSIS, 2024,
  • [22] Positive Solutions for Boundary Value Problem of Nonlinear Fractional Differential Equation with p-Laplacian Operator
    Lu, Hongling
    Han, Zhenlai
    Zhang, Chao
    Zhao, Yan
    Finite Difference Methods, Theory and Applications, 2015, 9045 : 274 - 281
  • [23] Existence of Positive Solutions for a Singular p-Laplacian Differential Equation
    Xia LI Department of Mathematics
    ActaMathematicaSinica(EnglishSeries), 2008, 24 (08) : 1331 - 1344
  • [24] Existence of positive solutions for a singular p-Laplacian differential equation
    Li, Xia
    Yao, Zheng An
    Zhou, Wen Shin
    ACTA MATHEMATICA SINICA-ENGLISH SERIES, 2008, 24 (08) : 1331 - 1344
  • [25] Existence of positive solutions for a singular p-Laplacian differential equation
    Xia Li
    Zheng An Yao
    Wen Shu Zhou
    Acta Mathematica Sinica, English Series, 2008, 24 : 1331 - 1344
  • [26] Existence and uniqueness of solutions to a fractional difference equation with p-Laplacian operator
    Yongshun Zhao
    Shurong Sun
    Yongxiang Zhang
    Journal of Applied Mathematics and Computing, 2017, 54 : 183 - 197
  • [27] Existence and uniqueness of solutions to a fractional difference equation with p-Laplacian operator
    Zhao, Yongshun
    Sun, Shurong
    Zhang, Yongxiang
    JOURNAL OF APPLIED MATHEMATICS AND COMPUTING, 2017, 54 (1-2) : 183 - 197
  • [28] Existence and uniqueness of solutions for boundary value problems to the singular one-dimension p-Laplacian
    Lin, Xiaoning
    Sun, Weizhi
    Jiang, Daqing
    BOUNDARY VALUE PROBLEMS, 2008,
  • [29] A boundary value problem for fractional differential equation with p-Laplacian operator at resonance
    Chen, Taiyong
    Liu, Wenbin
    Hu, Zhigang
    NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2012, 75 (06) : 3210 - 3217
  • [30] 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