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02- Progress in Fractional Differentiation and Applications
An International Journal
               
 
 
 
 
 
 
 
 
 
 
 

Content
 

Volumes > Vol. 5 > No. 4

 
   

On the Mathematical Formulation of Fractional Derivatives

PP: 261-267
doi:10.18576/pfda/050402
Author(s)
Konstantinos A. Lazopoulos, Anastasios K. Lazopoulos,
Abstract
Fractional Calculus is a robust mathematical tool with many applications in science and physics. Nevertheless fractional derivatives fail to fulfill the properties of the common derivatives since they do not correspond to differentials. Hence, their use in geometrical and physical problems is questionable. In the present article, a new fractional derivative, the Λ−fractional derivative (Λ −FD) is proposed in order to tackle all these problems. Keywords:

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