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02- Progress in Fractional Differentiation and Applications
An International Journal
               
 
 
 
 
 
 
 
 
 
 
 

Content
 

Volumes > Vol. 10 > No. 3

 
   

The Fuzzy Conformable Integro-Differential Equations

PP: 399-409
doi:10.18576/pfda/100306
Author(s)
Atimad Harir, Said Melliani, Lalla Saadia Chadli,
Abstract
The fuzzy generalized conformable fractional derivative is a novel fuzzy fractional derivative based on the basic limit definition of the derivative in [1]. We introduce the convolution product of fuzzy mapping and a crisp function. The conformable Laplace convolution formula is proved under the generalized conformable fractional derivatives concept and used to solve fuzzy integro- differential equations with a kernel of convolution type. The method is demonstrated by solving two examples, and the related theorems and properties are proved in detail.

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