一类带有分数阶分离边值条件的分数阶差分方程
A class of fractional difference equation with fractional separated boundary conditions
摘要
考虑一类带有分数阶分离边值条件的非线性分数阶差分方程解的存在性和唯一性.首先给出了该问题的解的表达式,然后运用压缩映像原理、Krasnosel'skii不动点定理和Leray-Schauder非线性选择定理证明了该问题解的存在性和唯一性.
We consider the existence and uniqueness of solutions for a class of fractional difference equation with fractional separated boundary conditions. First we give a representation for the solution to the problem. Then we prove the existence and uniqueness of solution to the problem by the contraction mapping theorem, the Krasnosel^skii fixed point theorem and Leray-Schauder nonlinear theorem.
出处
《延边大学学报（自然科学版）》
CAS
2012年第4期265-269,共5页
Journal of Yanbian University（Natural Science Edition）
关键词
分数阶差分方程
分离边值条件
解的存在唯一性
fractional difference equatiom separated boundary conditionsl existence and uniqueness of solution
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