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中文摘要：
研究一类具有p-Laplacian算子的非线性奇异分数阶微分方程无穷点边值问题的正解.非线性项允许关于时间和空间变量具有奇异性.通过对Green函数的性质进行进一步研究,构造出特殊的锥,引入适当的高度函数并考虑高度函数在锥中某些有界集合上的积分,给出了所研究问题局部正解以及多个局部正解的存在性结果.
英文摘要：
Existence of positive solutions for some nonlinear fractional differential equation infinitepointboundary value problems with ^-Laplacian is considered in this paper. The nonlinear term f permitssingularities with respect to both the time and space variables. A special cone is constructed by furtherinvestigating the properties of Green function. By introducing height functions of the nonlinear termon some bounded sets and considering integrations of these height functions, several local existence andmultiplicity of positive solutions theorems are obtained.
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