摘要
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.
出处
《伊犁师范学院学报(自然科学版)》
2017年第2期15-19,共5页
Journal of Yili Normal University:Natural Science Edition
基金
伊犁师范学院研究生科研创新项目(2016YSY009)