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含p-Laplacian算子的分数阶脉冲微分方程边值问题的解 被引量：2

Solutions of the Boundary Value Problems of Fractional Impulsive Differential Equations with p-Laplacian Operator
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摘要 讨论了一类带有p-Laplacian算子的分数阶脉冲微分方程的边值问题，运用不动点定理给出了具p-Laplacian算子的分数阶脉冲微分方程边值问题解存在的充分条件，最后给出实例加以验证． In this paper, a class boundary value problems of fractional Impulsive Differen-tial Equations with p-Laplacian operator is discussed. By using some fixed point theorems, sufficient conditions for the existence of solutions of impulsive differential equations are given by the given boundary value problem. Finally, a numerical example is given to illustrate the correctness and effectiveness of the proposed scheme.
作者 刘元彬 梅雪晖 胡卫敏 LIU Yuan-bin;MEI Xue-hui;HU Wei-min(School of Mathematics and Statistic,Yili Normal University,Yining 835000,China;College of Mathematics and System Science,Xinjiang University,Urumchi 830046,China)
机构地区 伊犁师范学院数学与统计学院 新疆大学数学与系统科学学院
出处 《数学的实践与认识》 北大核心 2018年第20期202-211,共10页 Mathematics in Practice and Theory
基金 新疆维吾尔自治区研究生科研创新项目(XJGRI2016136) 新疆维吾尔自治区高校科研计划重点项目(XJEDU2014I040)
关键词 分数阶微分方程 脉冲 不动点定理 边值问题 P-LAPLACIAN算子 fractional differential equation impulsive fixed-point theorem boundary prob-lem p-Laplacian operator
分类号 O175.8 [理学—基础数学]
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数学的实践与认识
2018年 第20期

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