We establish the existence and qualitative behavior of positive continuous solutions to some nonlinear singular fractional differential equation in the frame of conformable fractional derivative. To this end, we combine estimates on the Green's function and a fixed point argument. Some examples are given to illustrate the applicability of our main result.

中文翻译：

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一类一致分数边值问题的正解

我们在一致分数导数框架下建立了一些非线性奇异分数阶微分方程的正连续解的存在性和定性行为。为此，我们结合了对格林函数的估计和一个不动点参数。给出了一些例子来说明我们主要结果的适用性。