带分数阶边值条件的差分方程组的正解问题

Positive Solutions of Difference Equations with Fractional Boundary Value Conditions

本文研究一类带分数阶边值条件的差分方程组边值问题.利用不等式技巧、格林函数的性质及Krasnosel’skii不动点定理等方法,获得此分数阶差分方程组至少存在一个正解的充分条件,并通过具体例子证明所得的结论有效.

In this paper,by using inequality technique,properties of the Green’s function and the Krasnosel’skii fixed point theorem,a class of couple discrete fractional boundary value problems with fractional boundary value conditions is studied.Sufficient conditions for the existence of at least one positive solution of the fractional systems are established.Meanwhile,examples are presented to illustrate the effectiveness of the main results.