摘要
研究一类具有p-Laplace算子的非线性分数阶微分方程反周期边值问题解的存在性。首先给出该边值问题的Green函数;然后利用p-Laplace算子的性质和不动点定理得到该边值问题解的存在性结果;最后给出2个例子验证得到的结果。
The existence of solutions for a class of anti-periodic boundary value problem of nonlinear fractional differential equations with p-Laplace operator is investigated.Firstly,the Green function of the fractional boundary value problem is given.Then,by using the properties of p-Laplace operator and some fixed point theorems,some results on the existence of solutions are obtained.Finally,two examples are given to confirm the results.
作者
左佳斌
贠永震
ZUO Jiabin;YUN Yongzhen(College of Science,Hohai University,Nanjing Jiangsu 210098,China;Faculty of Applied Sciences,Jilin Engineering Normal University,Changchun Jilin 130052,China)
出处
《广西师范大学学报（自然科学版）》
CAS
北大核心
2020年第6期56-64,共9页
Journal of Guangxi Normal University:Natural Science Edition
基金
中央高校基础研究基金(2019B64714)
江苏省研究生科研与实践创新计划(SJKY19-0431)
国家重点研究开发项目(2018YFC1508100)
国家留学基金(201906710004)。
关键词
分数阶微分方程
反周期边值问题
解的存在性
P-LAPLACE算子
fractional differential equations
anti-periodic boundary value problem
existence of solutions
p-Laplace operator
