New results for impulsive fractional differential equations through variational methods

被引：3
|
作者：
Gao, Dongdong [1 ,2 ]
Li, Jianli [1 ]
机构：
[1] Hunan Normal Univ, Coll Math & Stat, Changsha 410081, Hunan, Peoples R China
[2] Tongling Univ, Dept Math & Comp Sci, Tongling 244000, Anhui, Peoples R China
来源：
MATHEMATISCHE NACHRICHTEN | 2021年 / 294卷 / 10期
关键词：
critical point theory; impulsive fractional differential equations; infinitely many solutions; variational methods; BOUNDARY-VALUE PROBLEM; EXISTENCE; MULTIPLICITY;
D O I：
10.1002/mana.201800383
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we mainly discuss the existence of solutions for impulsive fractional differential equations. By applying variational methods and critical point theory, some new criteria to guarantee the impulsive fractional impulsive fractional differential equation has infinitely many solutions are established. Moreover, we improve and extend some previous results.
引用
收藏
页码：1866 / 1878
页数：13
相关论文
共 50 条
  • [1] Infinitely many solutions for impulsive fractional differential equations through variational methods
    Gao, Dongdong
    Li, Jianli
    QUAESTIONES MATHEMATICAE, 2020, 43 (09) : 1285 - 1301
  • [2] APPLICATIONS OF VARIATIONAL METHODS TO IMPULSIVE FRACTIONAL DIFFERENTIAL EQUATIONS WITH A PARAMETER
    Gao, Dongdong
    Li, Jianli
    DYNAMIC SYSTEMS AND APPLICATIONS, 2018, 27 (04): : 973 - 987
  • [3] Variational Methods for an Impulsive Fractional Differential Equations with Derivative Term
    Zhao, Yulin
    Xu, Jiafa
    Chen, Haibo
    MATHEMATICS, 2019, 7 (10)
  • [4] New results for fractional differential equations with impulses via variational methods
    Li, Peiluan
    Wang, Hui
    Li, Zheqing
    JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS, 2017, 10 (03): : 990 - 1003
  • [5] A variational approach to perturbed impulsive fractional differential equations
    Heidarkhani, S.
    Cabada, A.
    Afrouzi, G. A.
    Moradi, S.
    Caristi, G.
    JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2018, 341 : 42 - 60
  • [6] Solutions for Impulsive Fractional Differential Equations via Variational Methods
    Li, Peiluan
    Wang, Hui
    Li, Zheqing
    JOURNAL OF FUNCTION SPACES, 2016, 2016
  • [7] Nontrivial solutions for impulsive fractional differential systems through variational methods
    Heidarkhani, Shapour
    Salari, Amjad
    MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2020, 43 (10) : 6529 - 6541
  • [8] Multiplicity results for impulsive fractional differential equations with p-Laplacian via variational methods
    Zhao, Yulin
    Tang, Liang
    BOUNDARY VALUE PROBLEMS, 2017,
  • [9] The Existence of One Solution for Impulsive Differential Equations via Variational Methods
    Rouhani, Zhaleh
    Afrouzi, Ghasem A.
    BOLETIM SOCIEDADE PARANAENSE DE MATEMATICA, 2023, 41
  • [10] Multiplicity results for impulsive fractional differential equations with p-Laplacian via variational methods
    Yulin Zhao
    Liang Tang
    Boundary Value Problems, 2017
12345