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01-Applied Mathematics & Information Sciences
An International Journal
               
 
 
 
 
 
 
 
 
 
 
 
 
 

Content
 

Volumes > Volume 14 > No. 5

 
   

Properties of the Caputo-Fabrizio Fractional Derivative

PP: 761-769
doi:10.18576/amis/140503
Author(s)
G. A. Mboro Nchama, L. D. Lau-Alfonso, A. M. Leo ́n Mec ́ıas, M. Rodr ́ıguez Ricard,
Abstract
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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