In this paper, we consider the linear fractional differential equation By obtaining the Green’s function we derive the Lyapunov-type inequality for such a boundary value problem. Furthermore, we use the contraction mapping theorem to study the existence of a unique solution for the corresponding nonlinear problem.

中文翻译：

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Lyapunov型不等式和分数阶微分方程的解

在本文中，我们考虑了线性分数阶微分方程，通过获取格林函数，可以导出此类边值问题的Lyapunov型不等式。此外，我们使用收缩映射定理来研究相应非线性问题的唯一解的存在。