一类含有P-Laplacian算子的分数阶边值问题解的存在唯一性

The Uniqueness of Solutions for Anti-Periodic Boundary Value Problems of Fractional differential Equations with P-Laplacian Operator

主要研究了一类含有P-Laplacian算子的分数阶微分方程反周期边值问题解的存在唯一性.首先给出该边值问题的Green函数,然后利用Banach压缩映射原理得到该边值问题在一定的条件下存在唯一解,最后给出一个例子验证结论的正确性.

In this paper, we investigate the uniqueness of solutions for anti-periodic boundary value problems of fractional differential equations with P-Laplacian operator. First, the Green function is presented, and then the existence and uniqueness of solution of the fractional boundary value problem is obtained by means of the Banach＇ s contraction mapping principle. As an application, an example is presented to illustrate our main results.