Variational approach to p-Laplacian fractional differential equations with instantaneous and non-instantaneous impulses

被引：26
|
作者：
Zhou, Jianwen [1 ]
Deng, Yumei [1 ]
Wang, Yanning [2 ]
机构：
[1] Yunnan Univ, Dept Math, Kunming 650091, Yunnan, Peoples R China
[2] Kunming Med Univ, Sch Basic Med Sci, Kunming 650500, Yunnan, Peoples R China
来源：
APPLIED MATHEMATICS LETTERS | 2020年 / 104卷
关键词：
P-Laplacian fractional differential equations; Instantaneous impulsive; Non-instantaneous impulsive; Variational method; Inequality techniques; PARABOLIC EQUATIONS;
D O I：
10.1016/j.aml.2020.106251
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we studied the existence of solutions for fractional differential equations of p-Laplacian with instantaneous and non-instantaneous impulses. The existence of solutions for a class of fractional differential equations with instantaneous and non-instantaneous impulses is obtained by using the critical point theory. Finally, an example is given to illustrate the feasibility of the main results. (C) 2020 Elsevier Ltd. All rights reserved.
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页数：9
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