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
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