VARIATIONAL METHODS FOR A FRACTIONAL ADVECTION-DISPERSION EQUATION WITH INSTANTANEOUS AND NON-INSTANTANEOUS IMPULSES AND

被引：0
|
作者：
Qiao, Yan [1 ]
Chen, Fangqi [2 ]
An, Yukun [2 ]
机构：
[1] Jiangsu Second Normal Univ, Sch Math Sci, Nanjing 211200, Peoples R China
[2] Nanjing Univ Aeronaut & Astronaut, Dept Math, Nanjing 211106, Peoples R China
来源：
JOURNAL OF APPLIED ANALYSIS AND COMPUTATION | 2024年 / 14卷 / 03期
基金：
中国国家自然科学基金;
关键词：
Fractional advection-dispersion equations; instantaneous and non- instantaneous impulses; nonlinear Sturm-Liouville conditions; variational meth- ods;
D O I：
10.11948/20230340
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, a class of fractional advection-dispersion equations with instantaneous and non-instantaneous impulses and nonlinear SturmLiouville boundary conditions is considered. Firstly, based on the problem, we define an appropriate function space and construct corresponding variational structures. Then, under weaker conditions than the Ambrosetti-Rabinowitz condition, the existence and multiplicity of solutions to the equation are proven through the Mountain Pass Lemma and genus properties. Finally, an example is provided to illustrate the results obtained in this paper.
引用
收藏
页码：1698 / 1716
页数：19
相关论文
共 50 条
  • [21] Results on Hilfer fractional switched dynamical system with non-instantaneous impulses
    Vipin Kumar
    Muslim Malik
    Dumitru Baleanu
    Pramana, 96
  • [22] Semilinear fractional differential equations with infinite delay and non-instantaneous impulses
    Benchohra, Mouffak
    Litimein, Sara
    Nieto, Juan J.
    JOURNAL OF FIXED POINT THEORY AND APPLICATIONS, 2019, 21 (01)
  • [23] Semilinear fractional differential equations with infinite delay and non-instantaneous impulses
    Mouffak Benchohra
    Sara Litimein
    Juan J. Nieto
    Journal of Fixed Point Theory and Applications, 2019, 21
  • [24] Results on Hilfer fractional switched dynamical system with non-instantaneous impulses
    Kumar, Vipin
    Malik, Muslim
    Baleanu, Dumitru
    PRAMANA-JOURNAL OF PHYSICS, 2022, 96 (04):
  • [25] Hilfer fractional neutral stochastic differential equations with non-instantaneous impulses
    Kasinathan, Ramkumar
    Kasinathan, Ravikumar
    Baleanu, Dumitru
    Annamalai, Anguraj
    AIMS MATHEMATICS, 2021, 6 (05): : 4474 - 4491
  • [26] ON A DELAYED EPIDEMIC MODEL WITH NON-INSTANTANEOUS IMPULSES
    Bai, Liang
    Nieto, Juan J.
    Uzal, Jose M.
    COMMUNICATIONS ON PURE AND APPLIED ANALYSIS, 2020, 19 (04) : 1915 - 1930
  • [27] Time fractional advection-dispersion equation
    F. Liu
    V. V. Anh
    I. Turner
    P. Zhuang
    Journal of Applied Mathematics and Computing, 2003, 13 (1-2) : 233 - 245
  • [28] Application of a fractional advection-dispersion equation
    Benson, DA
    Wheatcraft, SW
    Meerschaert, MM
    WATER RESOURCES RESEARCH, 2000, 36 (06) : 1403 - 1412
  • [29] Existence of Mild Solution for Mixed Volterra–Fredholm Integro Fractional Differential Equation with Non-instantaneous Impulses
    Jayanta Borah
    Swaroop Nandan Bora
    Differential Equations and Dynamical Systems, 2022, 30 : 185 - 196
  • [30] EXISTENCE RESULTS FOR A FRACTIONAL DIFFERENTIAL EQUATION WITH NON-INSTANTANEOUS IMPULSES WITHIN MITTAG-LEFFLER KERNEL
    Kavitha, V.
    Swetha, S. Jasmin
    Arjunan, M. Mallika
    TWMS JOURNAL OF APPLIED AND ENGINEERING MATHEMATICS, 2023, 13 : 563 - 574
12345