In this paper, we present two versions of the Hadamard inequality for convex functions via Caputo fractional derivatives. Several related results are analyzed for convex and -convex functions along with their refinements and generalizations. The error bounds of the Hadamard inequalities are established by applying some known identities.

中文翻译：

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通过Caputo分数阶导数的强凸函数的Hadamard不等式

在本文中，我们提出了Hadamard不等式的两个版本 通过Caputo分数导数的凸函数。分析了凸函数和-凸函数的几个相关结果，以及它们的完善和概括。Hadamard不等式的误差范围是通过应用一些已知的恒等式建立的。