Résumé:
In this work we studied the control and the synchronization of the chaotic systems of fractional
order.
We presented a new fractional system which based on the definition of the Caputo derivative
and which displays a chaotic behavior from a specific value of commensurable minimum order,
in which the theoretical and numerical solution representation of this system is given using the
Adams-Bashforth-Moulton algorithm which uses to solve fractional order systems numerically.
Also the full hybrid projective synchronization of state (FSHPS) is studied between the new 3D
chaotic fractional order system and the hyper-chaotic fractional order Lorenz system. The results
show that FSHPS is successfully performed between the two systems, indicating that this method
can be used to synchronize similar chaotic fractional-order systems in other applications.
