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一类带有边值条件的Caputo分数阶差分方程解的存在性

The Existence and Uniqueness of Solutions for a Class of Caputo Fractional difference Equation with Boundary Conditions
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摘要 研究了一类带有边值条件的Caputo分数阶差分方程解的存在性.首先,利用Caputo分数阶差分方程和边值条件得到它的Green函数,然后利用Bananch压缩映像原理得到解的存在唯一性.作为应用,给出了一个例子验证得到的结果. In this article, we study the existence and uniqueness of solutions for a class of Caputo fractional dif-ference equation with boundary conditions. First, the Green＇s function is given by using the Caputo fractional differ-ence equation and boundary value, and then gets the existence and uniqueness of solutions by using the Banach＇scontraction mapping principle. As an application, an example is given to illustrate our main results.
作者 贠永震 胡卫敏
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）》 2016年第2期1-4,共4页 Journal of Yili Normal University：Natural Science Edition
基金 2015年度伊犁师范学院研究生科研创新项目(2015YSY013)
关键词 Caputo分数阶差分方程 边值问题 解的存在唯一性 GREEN函数 Caputo fractional difference equation Boundary value problem Existence and uniqueness of solutions Green＇s function
分类号 O175.7 [理学—基础数学]
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参考文献9

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二级参考文献18

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共引文献8

伊犁师范学院学报（自然科学版）
2016年 第2期

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