The existence of solutions for perturbed fractional differential equations with impulses via Morse theory

被引：0
|
作者：
Peiluan Li
Liang Xu
Hui Wang
Yumeng Wang
机构：
[1] Henan University of Science and Technology,School of Mathematics and Statistics
[2] Henan University of Science and Technology,College of Information Engineering
[3] Statistics Bureau of Shihe District,undefined
来源：
Boundary Value Problems | / 2020卷
关键词：
Morse theory; Perturbed fractional differential equations; Impulses; Nontrivial solutions; 26A33; 34B37; 34K10;
D O I：
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中图分类号：
学科分类号：
摘要：
In the present paper, the existence of nontrivial solutions of impulsive fractional differential equations with Dirichlet boundary conditions is studied. We apply Morse theory coupled with local linking arguments to solve the topic, and we prove the existence of at least one nontrivial solution for the impulsive fractional differential equations.
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