通过讨论Green函数的性质并构造特殊的锥,利用Leggett-Williams不动点定理研究了无穷区间上带有积分边值的分数阶微分方程多个正解的存在性.  最后给出了一个例子说明了所得结果的正确性.

By studying the properties of Green function, a special cone is con-structed to establish the existence of multiple positive solutions for fractional dif-
ferential equation with integral boundary value conditions by using Leggett-Williams fixed point theorem on an infinite interval. Finally, an example is given to illustrate the effectiveness of the results.