具p-Laplacian算子分数阶微分方程边值问题正解的存在唯一性
Existence and Uniqueness of Boundary Value Problem for Fractional Differential Equation with p-Laplacian Operator
本文运用非紧性测度,给出了一类具p-Laplacian算子分数阶微分方程边值问题正解的存在性与唯一性.最后,用一个例子阐述我们的主要结果.
We discussed the boundary value problems for a class of fractional differential equations with p-Laplacian operator by the method of measure of noncompactness, we proved that existence and uniqueness of positive solutions. Finally, one example was given to illustrative our main results.
分数阶微分方程 / 边值问题 / p-Laplacian算子 / 正解 / 非紧性测度 {{custom_keyword}} /
fractional differential equation / boundary value problem / p-Laplacian operator / positive solutions / measure of noncompactness {{custom_keyword}} /
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国家自然科学基金资助项目(11671339)
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