摘要
研究一类带有分数阶边值条件的分数阶差分方程解的存在性与唯一性.首先给出这个问题的解的表达式,然后分析格林函数的一些性质,最后运用锥拉伸与锥压缩不动点定理、压缩映像原理、Krasnosel’skii定理证明了该问题解的存在性和唯一性.
The author studies the existence and uniqueness of solution for a class of fractional difference equation with fractional boundary conditions. First a representation for the solution to this problem is given. Then some characteristics of the Green＇s function are analyzed and the existence and uniqueness of solution are proven by using the fixed point theorems of cone expansion and compression, the contraction mapping theorem, and the Krasnosel＇skii theorem.
出处
《扬州大学学报（自然科学版）》
CAS
北大核心
2013年第1期12-16,共5页
Journal of Yangzhou University：Natural Science Edition
基金
国家自然科学基金资助项目(11161049)
关键词
分数阶差分方程
三点边值条件
解的存在性
唯一性
fractional difference equation
three point boundary value conditions
existence ofsolution
uniqueness
