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

被引：23
|
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
  • [21] Lipschitz stability of differential equations with non-instantaneous impulses
    Hristova, Snezhana
    Terzieva, Radoslava
    ADVANCES IN DIFFERENCE EQUATIONS, 2016,
  • [22] Caputo Fractional Differential Equations with Non-Instantaneous Random Erlang Distributed Impulses
    Hristova, Snezhana
    Ivanova, Krasimira
    FRACTAL AND FRACTIONAL, 2019, 3 (02) : 1 - 15
  • [23] STOCHASTIC DIFFERENTIAL EQUATIONS WITH NON-INSTANTANEOUS IMPULSES DRIVEN BY A FRACTIONAL BROWNIAN MOTION
    Boudaoui, Ahmed
    Caraballo, Tomas
    Ouahab, Abdelghani
    DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, 2017, 22 (07): : 2521 - 2541
  • [24] On Fractional Differential Equations with Riesz-Caputo Derivative and Non-Instantaneous Impulses
    Rahou, Wafaa
    Salim, Abdelkrim
    Lazreg, Jamal Eddine
    Benchohra, Mouffak
    SAHAND COMMUNICATIONS IN MATHEMATICAL ANALYSIS, 2023, 20 (03): : 109 - 132
  • [25] NONLINEAR IMPLICIT GENERALIZED HILFER TYPE FRACTIONAL DIFFERENTIAL EQUATIONS WITH NON-INSTANTANEOUS IMPULSES
    Salim, Abdelkrim
    Benchohra, Mouffak
    Lazreg, Jamal eddine
    N'guerekata, Gaston
    DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES S, 2024, 17 (5-6): : 2234 - 2250
  • [26] Lipschitz Stability of Differential Equations With Supremum And Non-instantaneous Impulses
    Hristova, S.
    Dobreva, A.
    Ivanova, K.
    SEVENTH INTERNATIONAL CONFERENCE ON NEW TRENDS IN THE APPLICATIONS OF DIFFERENTIAL EQUATIONS IN SCIENCES (NTADES 2020), 2021, 2321
  • [27] Controllability of nonlinear ordinary differential equations with non-instantaneous impulses
    Xin, Zhen
    Yang, Yuhe
    Li, Qiaoxia
    MATHEMATICAL MODELLING AND CONTROL, 2022, 2 (01): : 1 - 6
  • [28] On the orbital Hausdorff dependence of differential equations with non-instantaneous impulses
    Yang, Dan
    Wang, JinRong
    O'Regan, Donal
    COMPTES RENDUS MATHEMATIQUE, 2018, 356 (02) : 150 - 171
  • [29] RAZUMIKHIN METHOD TO DELAY DIFFERENTIAL EQUATIONS WITH NON-INSTANTANEOUS IMPULSES
    Agarwal, Ravi
    Hristova, Snezhana
    O'Regan, Donal
    DIFFERENTIAL EQUATIONS & APPLICATIONS, 2019, 11 (01): : 143 - 165
  • [30] Global Solutions for Abstract Differential Equations with Non-Instantaneous Impulses
    Michelle Pierri
    Hernán R. Henríquez
    Andréa Prokopczyk
    Mediterranean Journal of Mathematics, 2016, 13 : 1685 - 1708
12345