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02- Progress in Fractional Differentiation and Applications
An International Journal
               
 
 
 
 
 
 
 
 
 
 
 

Content
 

Volumes > Vol. 2 > No. 1

 
   

An Operator Method for Finding the Solution of Linear Fractional Order Fuzzy Differential Equations

PP: 41-54
doi:10.18576/pfda/020105
Author(s)
Najeeb Alam Khan, Fatima Riaz, Oyoon Abdul Razzaq,
Abstract
In this paper, analytical investigations of linear fractional order fuzzy differential equations are obtained using a newfound operator method. Fuzzy fractional differential equations (FFDEs) subjected to initial conditions are dissected under the assumptions of generalized Hukuhara differentiability in conjunction with Caputo-type fuzzy fractional derivative. Consequently, all the prospects of fractional differentials of fuzzy-valued functions are deduced and discussed in detail under the notion of Caputo-type fuzzy fractional differentiability (CFH-differentiability). Moreover, the novel method is illustrated on constructed systems of FFDEs and convex combination of r -level solutions for each system is measured, explicitly.

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