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摘要: |
本文研究了一类具有脉冲效应的分数阶p-Laplacian方程耦合系统的问题.利用变分方法,获得了该系统解存在的一些新结果.在证明过程中,弱化了系统中变系数和非线性项的条件,推广了已有结果. |
关键词: 分数阶微分方程 p-Laplacian算子 脉冲 弱解 |
DOI: |
分类号:O175.8 |
基金项目: |
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SOLVABILITY OF COUPLED SYSTEMS OF FRACTIONAL p-LAPLACIAN EQUATION WITH IMPULSIVE EFFECTS |
XUE Ting-ting,XU Yan
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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. |
Key words: fractional differential equation p-Laplacian operator impulse weak solution |