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

页码：1698 / 1716

页数：19