VARIATIONAL METHOD TO THE FRACTIONAL IMPULSIVE EQUATION WITH NEUMANN BOUNDARY CONDITIONS

被引：0
|
作者：
Zhang, Wei [1 ]
Wang, Zhongyuan [1 ]
Ni, Jinbo [1 ]
机构：
[1] Anhui Univ Sci & Technol, Sch Math & Big Data, Huainan 232001, Anhui, Peoples R China
来源：
JOURNAL OF APPLIED ANALYSIS AND COMPUTATION | 2024年 / 14卷 / 05期
基金：
中国国家自然科学基金;
关键词：
Fractional differential equation; Neumann boundary condition; critical point theorem; instantaneous impulses; non-instantaneous impulses; DIFFERENTIAL-EQUATIONS; EXISTENCE;
D O I：
10.11948/20230464
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We study the multiplicity of solutions for a class of fractional differential equations influenced by both instantaneous and non-instantaneous impulses, subject to Neumann boundary conditions. A key contribution of this paper is that we have established a new variational structure and successfully applied critical point theory to investigate the impulsive fractional Neumann boundary value problem. By using the critical point theorem, we give some new criteria to guarantee that the impulsive problem has at least three solutions. An example is also given to illustrate the main results.
引用
收藏
页码：2890 / 2902
页数：13
相关论文
共 50 条
  • [1] Variational Method to the Impulsive Equation with Neumann Boundary Conditions
    Sun, Juntao
    Chen, Haibo
    BOUNDARY VALUE PROBLEMS, 2009,
  • [2] Variational Method to the Impulsive Equation with Neumann Boundary Conditions
    Juntao Sun
    Haibo Chen
    Boundary Value Problems, 2009
  • [3] Applications of variational methods to the impulsive equation with non-separated periodic boundary conditions
    Liang, Ruixi
    Zhang, Wei
    ADVANCES IN DIFFERENCE EQUATIONS, 2016,
  • [4] Study of impulsive fractional differential equation under Robin boundary conditions by topological degree method
    Ullah, Atta
    Shah, Kamal
    Abdeljawad, Thabet
    Khan, Rahmat Ali
    Mahariq, Ibrahim
    BOUNDARY VALUE PROBLEMS, 2020, 2020 (01)
  • [5] Impulsive fractional differential equations with nonlinear boundary conditions
    Cao, Jianxin
    Chen, Haibo
    MATHEMATICAL AND COMPUTER MODELLING, 2012, 55 (3-4) : 303 - 311
  • [6] Impulsive fractional boundary-value problems with fractional integral jump conditions
    Thaiprayoon, Chatthai
    Tariboon, Jessada
    Ntouyas, Sotiris K.
    BOUNDARY VALUE PROBLEMS, 2014,
  • [7] Solutions for Impulsive Fractional Differential Equations with Integral Boundary Conditions
    Jiang, Weihua
    Yang, Junxia
    2012 4TH INTERNATIONAL CONFERENCE ON ENVIRONMENTAL SCIENCE AND INFORMATION APPLICATION TECHNOLOGY (ESIAT 2012), 2013, 14 : 602 - 608
  • [8] Dynamics of a fluid equation with Neumann boundary conditions
    Chen, Limin
    Li, Shengjun
    Zou, Yumei
    TURKISH JOURNAL OF MATHEMATICS, 2020, 44 (05) : 1871 - 1880
  • [9] A Lattice Boltzmann Method for the Advection-Diffusion Equation with Neumann Boundary Conditions
    Geback, Tobias
    Heintz, Alexei
    COMMUNICATIONS IN COMPUTATIONAL PHYSICS, 2014, 15 (02) : 487 - 505
  • [10] Positive solutions of a nonlinear impulsive equation with periodic boundary conditions
    Huseynov, Aydin
    APPLIED MATHEMATICS AND COMPUTATION, 2010, 217 (01) : 247 - 259
12345