Study on a new ρ-Laplacian fractional differential model generated by instantaneous and non-instantaneous impulsive effects

被引：9

作者：

Zhang, Wei ^{[1
]}

Ni, Jinbo ^{[1
]}

机构：

[1] Anhui Univ Sci & Technol, Sch Math & Big Data, Huainan 232001, Peoples R China

来源：

CHAOS SOLITONS & FRACTALS | 2023年 / 168卷

基金：

中国国家自然科学基金;

关键词：

p-Laplacian fractional differential equation; Instantaneous impulses; Non-instantaneous impulses; Sturm-Liouville boundary condition; Critical point theorem; BOUNDARY-VALUE-PROBLEMS; VARIATIONAL-METHODS; EXISTENCE; EQUATIONS;

D O I：

10.1016/j.chaos.2023.113143

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we discuss a new ��-Laplacian fractional differential equation involving instantaneous and non -instantaneous impulses, supplemented with Sturm-Liouville boundary conditions. To study the stated problem, we introduce a new norm for fractional space, denoted by ��,��. Under this framework, using the critical point theorem proposed by Bonanno and Marano, we prove the existence result of multiple solutions. Finally, an illustrative example is presented.

引用

页数：7

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