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

被引：23

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.

引用

页数：9

共 50 条

[1] Variational approach to p-Laplacian fractional differential equations with instantaneous and non-instantaneous impulses
Li, Zhilin
Chen, Guoping
Long, Weiwei
Pan, Xinyuan
AIMS MATHEMATICS, 2022, 7 (09): : 16986 - 17000
[2] Variational method for p-Laplacian fractional differential equations with instantaneous and non-instantaneous impulses
Qiao, Yan
Chen, Fangqi
An, Yukun
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2021, 44 (11) : 8543 - 8553
[3] Variational approach to non-instantaneous impulsive differential equations with p-Laplacian operator
Yao, Wangjin
AIMS MATHEMATICS, 2022, 7 (09): : 17269 - 17285
[4] Variational method to differential equations with instantaneous and non-instantaneous impulses
Tian, Yu
Zhang, Min
APPLIED MATHEMATICS LETTERS, 2019, 94 : 160 - 165
[5] Variational approach to fractional Dirichlet problem with instantaneous and non-instantaneous impulses
Zhang, Wei
Liu, Wenbin
APPLIED MATHEMATICS LETTERS, 2020, 99
[6] Existence results for fractional Dirichlet problems of p-Laplacian with instantaneous and non-instantaneous impulses on time scales
Hu, Xing
Li, Yongkun
QUAESTIONES MATHEMATICAE, 2024, 47 (02) : 353 - 373
[7] NON-INSTANTANEOUS IMPULSES IN CAPUTO FRACTIONAL DIFFERENTIAL EQUATIONS
Agarwal, Ravi
Hristova, Snezhana
O'Regan, Donal
FRACTIONAL CALCULUS AND APPLIED ANALYSIS, 2017, 20 (03) : 595 - 622
[8] Non-Instantaneous Impulses in Caputo Fractional Differential Equations
Ravi Agarwal
Snezhana Hristova
Donal O’Regan
Fractional Calculus and Applied Analysis, 2017, 20 : 595 - 622
[9] Multiple solutions for a class of p-Laplacian type fractional boundary value problems with instantaneous and non-instantaneous impulses
Li, Dongping
Chen, Fangqi
Wu, Yonghong
An, Yukun
APPLIED MATHEMATICS LETTERS, 2020, 106
[10] Variational Methods to Nonlinear Differential Equations with Non-instantaneous Impulses
郭佳
Journal of Donghua University(English Edition), 2018, 35 (06) : 500 - 502

← 1 2 3 4 5 →