Caputo-Fabrizio分数阶导数的性质，

Q2 Mathematics Applied Mathematics & Information Sciences Pub Date : 2020-09-01 DOI:10.18576/amis/140503

G. A. M. Nchama, L. D. L. Alfonso, A. L. Mecías, M. R. Ricard

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引用次数: 4

摘要

本文研究了CaputoFabrizio分数阶导数的一些性质。证明了Caputo-Fabrizio导数算子的一些正则性和界。利用拉普拉斯变换的方法，得到了一些含有Caputo-Fabrizio分数阶导数的微分方程的显式解。并给出了利用Caputo-Fabrizio导数生成的不同类型的不等式。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Properties of the Caputo-Fabrizio Fractional Derivative,

In this paper, we investigate some properties related CaputoFabrizio fractional derivative. We prove some regularity properties and bounds characterizing the Caputo-Fabrizio derivative operator. Using the method of Laplace transform, we found explicit solutions of some differential equations containing the Caputo-Fabrizio fractional derivative. Different types of inequalities generated by using the Caputo-Fabrizio derivative are also presented.

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