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一类分数阶奇异脉冲微分方程边值问题解的存在性研究

The Existence of Solutions for a Class of Boundary Value Problem of Singular Impulsive Fractional Differential Equation
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摘要 讨论了一类分数阶奇异脉冲微分方程边值问题解的存在性,利用格林函数的性质,应用Arzela-Ascoli定理给出了解存在的充分条件,同时给出了一个例子来说明主要结果. In this paper,we investigate the existence of solutions for a class of boundary value problem of singu.lar impulsive fractional differential equation.By using the properties of the Green function,the sufficient conditionsfor the existence of the solution are given by using the Arzela-Ascoli theorem.One example in given to explain themain result.
作者 仝荣 胡卫敏 TONG Rong;HU Wei-min(College of Mathematics and Statistics,Yili Normal University, Yining, Xinjiang 835000, China)
机构地区 伊犁师范学院数学与统计学院
出处 《伊犁师范学院学报（自然科学版）》 2018年第4期1-7,共7页 Journal of Yili Normal University：Natural Science Edition
基金 伊犁师范学院研究生科研创新项目(YLSF2017030)
关键词 分数阶微分方程 脉冲 奇异性 边值问题 Fractional differential equation Impulse Singularity Boundary value problem
分类号 O175.14 [理学—基础数学]
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伊犁师范学院学报（自然科学版）
2018年 第4期

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