延边大学学报：自然科学版
延邊大學學報：自然科學版
연변대학학보：자연과학판
Journal of Yanbian University：Natural Science
2012年
4期
265-269
,共5页
分数阶差分方程%分离边值条件%解的存在唯一性
分數階差分方程%分離邊值條件%解的存在唯一性
분수계차분방정%분리변치조건%해적존재유일성
fractional difference equatiom separated boundary conditionsl existence and uniqueness of solution
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．
攷慮一類帶有分數階分離邊值條件的非線性分數階差分方程解的存在性和唯一性．首先給齣瞭該問題的解的錶達式，然後運用壓縮映像原理、Krasnosel’skii不動點定理和Leray-Schauder非線性選擇定理證明瞭該問題解的存在性和唯一性．
고필일류대유분수계분리변치조건적비선성분수계차분방정해적존재성화유일성．수선급출료해문제적해적표체식，연후운용압축영상원리、Krasnosel’skii불동점정리화Leray-Schauder비선성선택정리증명료해문제해적존재성화유일성．
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.
