In this paper, we consider the existence of solutions for a boundary value problem of singular two-term fractional differential equation with delay and sign-changing nonlinearity. By means of the Guo–Krasnosel’skii fixed point theorem and the Leray–Schauder nonlinear alternative theorem, we obtain some results on the existence and multiplicity of solutions, respectively.

中文翻译：

---

具有时滞和变号非线性的奇异两项分数阶微分方程边值问题解的存在性和多重性

在本文中，我们考虑具有时滞和变号非线性的奇异两项分数阶微分方程边值问题解的存在性。借助Guo-Krasnosel'skii不动点定理和Leray-Schauder非线性择一定理，我们分别得到了解的存在性和重数性的结果。