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Properties of the Caputo-Fabrizio Fractional Derivative |
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PP: 761-769 |
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doi:10.18576/amis/140503
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Author(s) |
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G. A. Mboro Nchama,
L. D. Lau-Alfonso,
A. M. Leo ́n Mec ́ıas,
M. Rodr ́ıguez Ricard,
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Abstract |
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In this paper, we investigate some properties related Caputo-Fabrizio (CF) 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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