中文摘要：

运用Schauder不动点定理和上下解方法研究了一类分数阶p-Laplacian边值问题正解的存在性和唯一性，并给出了唯一解的迭代序列．

英文摘要：

We use the Schauder fixed point theorem and the upper and lower solutions method to investigate the existence and uniqueness of positive solutions for a class of fractional p-Laplacian boundary value problems, and establish the iterative sequences for the unique solution.