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arXiv 1303.0150math.CA
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具有p-Laplacian算子的分数阶微分方程边值问题正解的存在唯一性

Existence and uniqueness of positive solutions of boundary-value problems for fractional differential equations with p-Laplacian operator

Erdoğan Şen, Mehmet Acikgoz, Jong Jin Seo, Serkan Araci, Kamil Oruçoğlu

摘要:

本文研究了一类带p-Laplacian算子的非线性分数阶微分方程的边值问题.利用格林函数的性质和Schauder不动点定理,得到了关于两个参数的正解的存在性和不存在性的几个结果.研究了正解在这些参数下的唯一性。

英文摘要:

In this article, we consider the boundary-value problem of nonlinear fractional differential equation with p-Laplacian operator. By the properties of Green function and Schauder fixed point theorem, several existence and nonexistence results for positive solutions, in terms of two parameters are obtained. The uniqueness of positive solution on these parameters is also studied.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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