CAJ | 학술논문

研究了一类带有分数阶 q 差分边值条件的混合分数阶 q 差分方程解的存在性。首先分析了格林函数的性质，然后借助 Lipschitz 条件，在 Banach 代数中利用不动点定理研究了该方程解的存在性，最后通过实例验证了所得结论的合理性。
연구료일류대유분수계 q 차분변치조건적혼합분수계 q 차분방정해적존재성。수선분석료격림함수적성질，연후차조 Lipschitz 조건，재 Banach 대수중이용불동점정리연구료해방정해적존재성，최후통과실례험증료소득결론적합이성。
We study the existence of solutions for a class of the fractionalq-differences hybrid equation with the fractional q-differences boundary conditions.Firstly,some characteristics of the Green function were analyzed. The second,we obtained sufficient conditions for the existence of positive solutions to this equation under Lipschitz condition using fixed point theorems in Banach algebra.The end,the main results were illustrated with the aid of examples.