中文摘要：

主要研究了一些非线性条件下的一类带p-Laplacian算子的分数阶微分方程边值问题解的存在性，其中此问题的非线性项与未知函数的分数阶导数相关．同时，利用不动点定理证明并给出了这类边值问题的解存在的充分条件．

英文摘要：

Under certain nonlinear conditions, this paper studies the existence of solutions of a boundary value problem for fractional differential equation with p-Laplacian operator, the nonlinearity of which is related to fractional derivative, we get some new existence results by using fixed point theorem.