| 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 |
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| 引用本文： | 张迪,刘文斌,张伟. 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[J]. 河南师范大学学报(自然科学版), 2018, 0(2): 17-21 |
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| 作者姓名： | 张迪 刘文斌 张伟 |
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| 作者单位： | 中国矿业大学数学学院; |
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| 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.
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| 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 |
Existence of solutions of boundary value problems for a class of fractional differential equations with p(t)-Laplacian |
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| Affiliation: | ,College of Mathematics,China University of Mining and Technology |
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| Abstract: | 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. |
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| Keywords: | fractional differential equation boundary value problem p(t)-Laplacian operator Schaefer fixed point theorem |
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