CAJ | 학술논문

研究了一类带有分数阶差分边值条件的分数阶q-差分问题正解的存在性。首先给出了该问题解的表达式，然后分析了格林函数的一些性质，并运用锥上的不动点定理证明了该问题正解的存在性。最后，用具体例子验证了文中的主要结论，所得结论将文献[10]中的整数阶边值条件推广到了分数阶边值条件。
연구료일류대유분수계차분변치조건적분수계q-차분문제정해적존재성。수선급출료해문제해적표체식，연후분석료격림함수적일사성질，병운용추상적불동점정리증명료해문제정해적존재성。최후，용구체례자험증료문중적주요결론，소득결론장문헌[10]중적정수계변치조건추엄도료분수계변치조건。
We study the existence of positive solutions to a class of the fractional q-differences boundary value problem with the fractional q-differences boundary conditions.Firstly,the expression of solutions is presen-ted,then analysis some properties of the Green function,proves the existence of the positive solutions of the problem by using the fixed point theorem in cones.The conclusions generalize some existing results in the literature,and the results of literature [10]integer order boundary conditions are extended to fractional bound-ary conditionan.