CAJ | 학술논문

研究了一类带有分数阶边值条件的分数阶差分方程正解的存在性问题。首先利用分数阶差分方程理论和边值条件给出了解的结构，其次分析了 Green 函数的一些性质，最后利用锥上的不动点定理证明了该问题正解的存在性。
연구료일류대유분수계변치조건적분수계차분방정정해적존재성문제。수선이용분수계차분방정이론화변치조건급출료해적결구，기차분석료 Green 함수적일사성질，최후이용추상적불동점정리증명료해문제정해적존재성。
We study the existence of positive solutions of the boundary value problem for a fractional difference equation with fractional boundary value condition.Firstly,according to the theory of fractional difference equation and its boundary conditions,we got the structure of solutions,then analyze some properties of the Green’s function,at last,the existence of the positive solutions of the problem is proved by using the fixed point theorem in cones.