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具有脉冲效应的分数阶p-Laplacian方程耦合系统的可解性

薛婷婷 徐燕

数学杂志2024,Vol.44Issue(2):126-140,15.
数学杂志2024,Vol.44Issue(2):126-140,15.

具有脉冲效应的分数阶p-Laplacian方程耦合系统的可解性

SOLVABILITY OF COUPLED SYSTEMS OF FRACTIONAL p-LAPLACIAN EQUATION WITH IMPULSIVE EFFECTS

薛婷婷 1徐燕1

作者信息

  • 1. 新疆工程学院数理学院,新疆乌鲁木齐 830000
  • 折叠

摘要

Abstract

This article investigates the problem of a coupled system of fractional order p-Laplacian equations with impulsive effects.Some new results for the existence of solutions of this system are obtained by using variational method.In the process of proof,the conditions of variable coefficient and nonlinear term in the system are weakened,and the existing results are extended.

关键词

分数阶微分方程/p-Laplacian算子/脉冲/弱解

Key words

fractional differential equation/p-Laplacian operator/impulse/weak solution

分类

数理科学

引用本文复制引用

薛婷婷,徐燕..具有脉冲效应的分数阶p-Laplacian方程耦合系统的可解性[J].数学杂志,2024,44(2):126-140,15.

基金项目

Supported by Natural Science Foundation of Xinjiang Uygur Autonomous Region(2021D01B35)and Natural Science Foundation of colleges and universities in Xinjiang Uygur Autonomous Region(XJEDU2021Y048). (2021D01B35)

数学杂志

OACSTPCD

0255-7797

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