In this article, some properties of neutrosophic derivative and neutrosophic numbers have been presented. This properties have been used to develop the neutrosophic differential calculus. By considering different types of first- and second-order derivatives, different kind of systems of derivatives have been developed. This is the first time where a second-order neutrosophic boundary-value problem has been introduced with different types of first- and second-order derivatives. Some numerical examples have been examined to explain different systems of neutrosophic differential equation.

中文翻译：

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二阶中智边值问题

本文介绍了中智导数和中智数的一些性质。这一性质已被用于开发中智微分。通过考虑不同类型的一阶和二阶导数，已经开发了不同类型的导数系统。这是第一次引入具有不同类型的一阶和二阶导数的二阶中智边值问题。已经检查了一些数值例子来解释中智微分方程的不同系统。