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
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
  • [1] Solutions of fractional differential equations with p-Laplacian operator in Banach spaces
    Tan, Jingjing
    Li, Meixia
    BOUNDARY VALUE PROBLEMS, 2018,
  • [2] Solutions of fractional differential equations with p-Laplacian operator in Banach spaces
    Jingjing Tan
    Meixia Li
    Boundary Value Problems, 2018
  • [3] Eigenvalue of Fractional Differential Equations with p-Laplacian Operator
    Wu, Wenquan
    Zhou, Xiangbing
    DISCRETE DYNAMICS IN NATURE AND SOCIETY, 2013, 2013
  • [4] Existence of Solutions for Nonlinear Impulsive Fractional Differential Equations with p-Laplacian Operator
    Karaca, Ilkay Yaslan
    Tokmak, Fatma
    MATHEMATICAL PROBLEMS IN ENGINEERING, 2014, 2014
  • [5] Existence and Uniqueness of Solutions to Four-Point Impulsive Fractional Differential Equations with p-Laplacian Operator
    Chu, Limin
    Hu, Weimin
    Su, Youhui
    Yun, Yongzhen
    MATHEMATICS, 2022, 10 (11)
  • [6] Existence of Solutions of Boundary Value Problems for Fractional Differential Equations with p-Laplacian Operator in Banach Spaces
    Tan, Jing-jing
    Cheng, Cao-zong
    NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION, 2017, 38 (06) : 738 - 753
  • [7] SOLVABILITY FOR A CLASS OF NONLINEAR CAPUTO-HADAMARD FRACTIONAL DIFFERENTIAL EQUATIONS WITH p-LAPLACIAN OPERATOR IN BANACH SPACES
    Derbazi, Choukri
    FACTA UNIVERSITATIS-SERIES MATHEMATICS AND INFORMATICS, 2020, 35 (03): : 693 - 711
  • [8] A Class of Fractional p-Laplacian Integrodifferential Equations in Banach Spaces
    Liu, Yiliang
    Lu, Liang
    ABSTRACT AND APPLIED ANALYSIS, 2013,
  • [9] Multiplicity for fractional differential equations with p-Laplacian
    Tian, Yuansheng
    Wei, Yongfang
    Sun, Sujing
    BOUNDARY VALUE PROBLEMS, 2018,
  • [10] IMPULSIVE FRACTIONAL DIFFERENTIAL EQUATIONS IN BANACH SPACES
    Benchohra, Mouffak
    Seba, Djamila
    ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS, 2009,