中文摘要：

为了研究一类带p-Laplacian算子的Caputo分数阶微分方程边值问题正解的存在性,通过计算得到该问题的格林函数,并讨论其性质。运用单调迭代方法,得到该边值问题至少存在2个正解,最后通过实例验证了此类方程边值问题正解的存在性。

英文摘要：

In order to investigate the existence of positive solutions to a class of Caputo fractional differential equation boundary value problems with D-Laplacian operator, the Greenes function is obtained by calculus, and its properties are discussed. By using monotone iterative technique, at least two positive solutions are obtained for the boundary value problems. An example is given to illustrate the existence of positive solutions to this kind of equation boundary value problems.