The work addressed in this paper is to ensure the existence and uniqueness of positive solutions for initial value problems for nonlinear fractional differential equations with two terms of fractional orders. By virtue of recent fixed point theorems on mixed monotone operators, we get some new straightforward results with a wide range of applications.

中文翻译：

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两点非线性分数阶微分方程通过不动点技术的存在唯一性结果

本文解决的工作是确保非线性分数阶微分方程的初值问题正解的存在性和唯一性。通过最近在混合单调算子上的不动点定理，我们得到了一些新的直接结果，具有广泛的应用范围。