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Positive Solutions Depending on Parameters for a Nonlinear Fractional System with -Laplacian Operators
Advances in Mathematical Physics ( IF 1.0 ) Pub Date : 2020-10-30 , DOI: 10.1155/2020/9563791
Chen Yang 1 , Xiaolin Zhu 2
Affiliation  

This paper considers a system of fractional differential equations involving -Laplacian operators and two parameters where , , and are the standard Riemann-Liouville derivatives, , , , , and and and are two positive parameters. We obtain the existence and uniqueness of positive solutions depending on parameters for the system by utilizing a recent fixed point theorem. Furthermore, an example is present to illustrate our main result.

中文翻译:

具有-Laplacian算子的非线性分数系统的参数正解

本文考虑分数阶微分方程的涉及系统-拉普拉斯运算符和两个参数 哪里 并且是标准黎曼-刘维衍生物, 是两个正参数。通过利用最近的不动点定理,我们根据系统的参数获得正解的存在性和唯一性。此外,还提供了一个示例来说明我们的主要结果。
更新日期:2020-10-30
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