Existence Results for Non-instantaneous Impulsive Nonlinear Fractional Differential Equation Via Variational Methods

被引：2
作者：
Yulin Zhao
Chaoliang Luo
Haibo Chen
机构：
[1] Hunan University of Technology,School of Science
[2] Central South University,School of Mathematics and Statistics
来源：
Bulletin of the Malaysian Mathematical Sciences Society | 2020年 / 43卷
关键词：
Non-instantaneous impulses; Fractional differential equation; Variational methods; 26A63; 34A38; 35A45;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this article, we investigate a class of nonlinear fractional differential equations with non-instantaneous impulses. By means of critical point theory and variational methods, we prove that the existence and multiplicity of nontrivial solutions for the non-instantaneous impulsive fractional problem. Furthermore, the nonexistence of nontrivial solutions for the non-instantaneous impulsive fractional problem is obtained as well.
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页码：2151 / 2169
页数：18
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