一类带p(t)-Laplacian算子的分数阶微分方程边值问题解的存在性  

Existence of solutions of boundary value problems for a class of fractional differential equations with p(t)-Laplacian

作　　者：张迪 刘文斌 张伟 

机构地区：[1]中国矿业大学数学学院,江苏徐州221116

出　　处：《河南师范大学学报（自然科学版）》2018年第2期17-21,共5页Journal of Henan Normal University(Natural Science Edition)

基　　金：国家自然科学基金(11271364)

摘　　要：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：分数阶微分方程 边值问题 p(t)-Laplacian算子 Schaefer不动点定理 

分 类 号：O175.8[理学—数学]