p-Laplacian分数阶微分方程边值问题正解的存在性

Existence of Positive Solutions to Boundary Value Problem of Fracctional Differential Equation with P-Laplacian

在这篇文章，我们讨论了一类p—Laplacian分数阶微分方程边值问题正解的存在性，应用凸锥上的不动点定理，我们得到了这类边值问题至少存在一个和两个正解的充分条件．

In this paper, we consider the multiplicity of positive solution for boundary value problem of fractional differential equations with p-Laplacian operator. By using the fixed-point theorem on a convex cone, the existence and the multiplicity results of positive solution are obtained.