Variational approach to p-Laplacian fractional differential equations with instantaneous and non-instantaneous impulses

被引：26
|
作者：
Zhou, Jianwen [1 ]
Deng, Yumei [1 ]
Wang, Yanning [2 ]
机构：
[1] Yunnan Univ, Dept Math, Kunming 650091, Yunnan, Peoples R China
[2] Kunming Med Univ, Sch Basic Med Sci, Kunming 650500, Yunnan, Peoples R China
来源：
APPLIED MATHEMATICS LETTERS | 2020年 / 104卷
关键词：
P-Laplacian fractional differential equations; Instantaneous impulsive; Non-instantaneous impulsive; Variational method; Inequality techniques; PARABOLIC EQUATIONS;
D O I：
10.1016/j.aml.2020.106251
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we studied the existence of solutions for fractional differential equations of p-Laplacian with instantaneous and non-instantaneous impulses. The existence of solutions for a class of fractional differential equations with instantaneous and non-instantaneous impulses is obtained by using the critical point theory. Finally, an example is given to illustrate the feasibility of the main results. (C) 2020 Elsevier Ltd. All rights reserved.
引用
收藏
页数：9
相关论文
共 50 条
  • [1] Variational approach to p-Laplacian fractional differential equations with instantaneous and non-instantaneous impulses
    Li, Zhilin
    Chen, Guoping
    Long, Weiwei
    Pan, Xinyuan
    AIMS MATHEMATICS, 2022, 7 (09): : 16986 - 17000
  • [2] Variational method for p-Laplacian fractional differential equations with instantaneous and non-instantaneous impulses
    Qiao, Yan
    Chen, Fangqi
    An, Yukun
    MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2021, 44 (11) : 8543 - 8553
  • [3] MULTIPLE SOLUTIONS FOR P-LAPLACIAN KIRCHHOFF-TYPE FRACTIONAL DIFFERENTIAL EQUATIONS WITH INSTANTANEOUS AND NON-INSTANTANEOUS IMPULSES
    Yao, Wangjin
    Zhang, Huiping
    JOURNAL OF APPLIED ANALYSIS AND COMPUTATION, 2025, 15 (01): : 422 - 441
  • [4] Variational approach to non-instantaneous impulsive differential equations with p-Laplacian operator
    Yao, Wangjin
    AIMS MATHEMATICS, 2022, 7 (09): : 17269 - 17285
  • [5] Variational method to differential equations with instantaneous and non-instantaneous impulses
    Tian, Yu
    Zhang, Min
    APPLIED MATHEMATICS LETTERS, 2019, 94 : 160 - 165
  • [6] Variational approach to fractional Dirichlet problem with instantaneous and non-instantaneous impulses
    Zhang, Wei
    Liu, Wenbin
    APPLIED MATHEMATICS LETTERS, 2020, 99
  • [7] Existence results for fractional Dirichlet problems of p-Laplacian with instantaneous and non-instantaneous impulses on time scales
    Hu, Xing
    Li, Yongkun
    QUAESTIONES MATHEMATICAE, 2024, 47 (02) : 353 - 373
  • [8] NON-INSTANTANEOUS IMPULSES IN CAPUTO FRACTIONAL DIFFERENTIAL EQUATIONS
    Agarwal, Ravi
    Hristova, Snezhana
    O'Regan, Donal
    FRACTIONAL CALCULUS AND APPLIED ANALYSIS, 2017, 20 (03) : 595 - 622
  • [9] Non-Instantaneous Impulses in Caputo Fractional Differential Equations
    Ravi Agarwal
    Snezhana Hristova
    Donal O’Regan
    Fractional Calculus and Applied Analysis, 2017, 20 : 595 - 622
  • [10] Multiple solutions for a class of p-Laplacian type fractional boundary value problems with instantaneous and non-instantaneous impulses
    Li, Dongping
    Chen, Fangqi
    Wu, Yonghong
    An, Yukun
    APPLIED MATHEMATICS LETTERS, 2020, 106
12345