Impulsive Fractional Differential Equations with p-Laplacian Operator in Banach Spaces

被引：2
作者：
Tan, Jingjing [1 ]
Zhang, Kemei [2 ]
Li, Meixia [1 ,3 ]
机构：
[1] Weifang Univ, Sch Math & Informat Sci, Weifang 261061, Shandong, Peoples R China
[2] Qufu Normal Univ, Sch Math Sci, Qufu 273165, Shandong, Peoples R China
[3] Shandong Univ Sci & Technol, Coll Math & Syst Sci, Qingdao 266590, Shandong, Peoples R China
来源：
JOURNAL OF FUNCTION SPACES | 2018年 / 2018卷
关键词：
BOUNDARY-VALUE PROBLEM; POSITIVE SOLUTIONS; EXISTENCE; UNIQUENESS;
D O I：
10.1155/2018/2503915
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we study a class of boundary value problem(BVP) with multiple point boundary conditions of impulsive p-Laplacian operator fractional differential equations. We establish the sufficient conditions for the existence of solutions in Banach spaces. Our analysis relies on the Kuratowski noncompactness measure and the Sadovskii fixed point theorem. An example is given to demonstrate the main results.
引用
收藏
页数：11
相关论文
共 50 条
  • [31] 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
  • [32] 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,
  • [33] EXISTENCE RESULTS FOR IMPULSIVE FRACTIONAL DIFFERENTIAL EQUATIONS WITH p-LAPLACIAN VIA VARIATIONAL METHODS
    Graef, John R.
    Heidarkhani, Shapour
    Kong, Lingju
    Moradi, Shahin
    MATHEMATICA BOHEMICA, 2022, 147 (01): : 95 - 112
  • [34] Multiplicity results for impulsive fractional differential equations with p-Laplacian via variational methods
    Zhao, Yulin
    Tang, Liang
    BOUNDARY VALUE PROBLEMS, 2017,
  • [35] Boundary Value Problems for Impulsive Fractional Differential Equations in Banach Spaces
    Yang, Shuai
    Zhang, Shuqin
    FILOMAT, 2017, 31 (18) : 5603 - 5616
  • [36] A NEW METHOD IN THE STUDY OF IMPULSIVE FRACTIONAL DIFFERENTIAL EQUATIONS IN BANACH SPACES
    Wang, JinRong
    Deng, JianHua
    Zhou, Yong
    FIXED POINT THEORY, 2014, 15 (01): : 285 - 296
  • [37] Hardy-Type p-Laplacian Fractional Differential Equations
    Nyamoradi, Nemat
    Sousa, J. Vanterler da C.
    MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2025, 48 (06) : 6469 - 6476
  • [38] Variational formulation for nonlinear impulsive fractional differential equations with (p, q)-Laplacian operator
    Li, Dongping
    Chen, Fangqi
    Wu, Yonghong
    An, Yukun
    MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2022, 45 (01) : 515 - 531
  • [39] On the solvability of a fractional differential equation model involving the p-Laplacian operator
    Liu, Xiping
    Jia, Mei
    Xiang, Xiufen
    COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2012, 64 (10) : 3267 - 3275
  • [40] Multiple and Nonexistence of Positive Solutions for a Class of Fractional Differential Equations with p-Laplacian Operator
    Zhang, Haoran
    Hao, Zhaocai
    Bohner, Martin
    MATHEMATICS, 2024, 12 (23)
12345