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中文摘要：
运用经典拓扑度理论，研究了一类高维非线性分数阶微分方程，得到了其在Neumann边界条件下正解的存在性．并将结论应用于讨论具体模型．
英文摘要：
This paper is interested a kind of m-dimension nonlinear fractional differential system under the Neumann boundary conditions~ By means of some fixed point theorems, the existence and multiplicity results of positive solutions are received~ Furthermore, two examples given here illustrate the results are almost sharp.
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