文章基本信息

标题：Existence of positive solutions of boundary value problems for high-order nonlinear conformable differential equations with p -Laplacian operator
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作者：Bibo Zhou ; Bibo Zhou ; Lingling Zhang 等
期刊名称：Advances in Difference Equations
印刷版ISSN：1687-1839
电子版ISSN：1687-1847
出版年度：2019
卷号：2019
期号：1
页码：1-17
DOI：10.1186/s13662-019-2258-2
出版社：Hindawi Publishing Corporation
摘要：In this paper, we study the existence of positive solutions for boundary value problems of high-order conformable differential equations involving the p-Laplacian operator. By applying properties of the Green’s function and the Guo–Krasnosel’skii fixed point theorem, some sufficient conditions for the existence of at least one positive solution are established. In addition, we demonstrate the effectiveness of the main result by using an example.
关键词：p-Laplacian operator;Boundary value problem;Conformable fractional derivative;Fixed point theorems