张迪,刘文斌,张伟
Zhang Di,Liu Wenbin,Zhang Wei

• 1:中国矿业大学数学学院

摘要(Abstract)：

研究了一类带p(t)-Laplacian算子的分数阶微分方程边值问题,利用Schaefer不动点定理得到了解的存在性,并举例验证其主要结论.p-Laplacian算子是p(t)-Laplacian算子的特殊形式,所得结果推广和丰富了已有结果.
In this paper,by usingschaefer fixed point theorem,we present an existence result for the solution of fractional differential equations with p(t)-Laplacian operator.An example is given to illustrate the research result.p-Laplacian operator is a special form of the p(t)-Laplacian operator,our paper generalizes and enriches the existing results.

关键词(KeyWords)： 分数阶微分方程;边值问题;p(t)-Laplacian算子;Schaefer不动点定理
fractional differential equation;boundary value problem;p(t)-Laplacian operator;Schaefer fixed point theorem

Abstract:

Keywords:

基金项目(Foundation): 国家自然科学基金(11271364)

作者(Author): 张迪,刘文斌,张伟
Zhang Di,Liu Wenbin,Zhang Wei

DOI: 10.16366/j.cnki.1000-2367.2018.02.003

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