Ground state solutions for the fractional impulsive differential system with ψ-Caputo fractional derivative and ψ-Riemann-Liouville fractional integral

被引：1

作者：

Li, Dongping ^{[1
]}

Li, Yankai ^{[2
,3
]}

Feng, Xiaozhou ^{[1
]}

Li, Changtong ^{[1
]}

Wang, Yuzhen ^{[1
]}

Gao, Jie ^{[1
]}

机构：

[1] Xian Technol Univ, Sch Sci, Xian, Peoples R China

[2] Xian Univ Technol, Sch Automat & Informat Engn, Xian, Peoples R China

[3] Xian Univ Technol, Sch Automat & Informat Engn, Xian 710048, Peoples R China

来源：

MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2024年 / 47卷 / 11期

基金：

中国国家自然科学基金;

关键词：

psi-Caputo fractional derivative; psi--Riemann-Liouville fractional integral; ground state solution; Nehari manifold; RESPECT;

D O I：

10.1002/mma.10023

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This article examines a new family of (p,q)-Laplacian type nonlinear fractional impulsive differential coupled equations involving both the psi-Caputo fractional derivative and psi-Riemann-Liouville fractional integral. With the help of Neharimani fold in critical point theory and fractional calculus properties, we obtain the existence of at least one nontrivial ground state solution for the coupled system with some natural and easily verifiable super linear conditions on the nonlinearity.

引用

收藏

页码：8434 / 8448

页数：15

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