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02- Progress in Fractional Differentiation and Applications
An International Journal
               
 
 
 
 
 
 
 
 
 
 
 

Content
 

Volumes > Vol. 9 > No. 3

 
   

Chaotic Jerk Circuit: Existence and Stability of Solutions for a Fractional Model

PP: 409-419
doi:10.18576/pfda/090306
Author(s)
Meriem Mansouria Belhamiti, Zoubir Dahmani, Praveen Agarwal,
Abstract
We propose a new model of Jerk equation involving fractional derivatives. We begin by presenting an existence and uniqueness result for the problem. Then, by means of Schaefer fixed point theorem, another main result, that deals with the existence of at least one solution, is established. Beside this, Ulam type stabilities are discussed. At the end, two illustrative examples are also discussed.

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