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In this paper, we introduce the fractional version of the new 6D hyperchaotic Lorenz-likesystem which has been introduced recently in the literature. Hyperchaotic behaviors of higherorder increase the randomness and higher unpredictability of the corresponding system. Somecomplex dynamical behaviors such as hyperchaotic of order 5, Poincare mapping and bifurcationdiagram are analyzed and investigated. The stability region of the new fractional-ordersystem is investigated. The values of the fractional-order and the system parameters at whichhyperchaotic attractors exist are calculated based on the sign of their Lyapunov exponents.The complete synchronization of the hyperchaotic attractors of order 5 is studied. A scheme isstated to derive the analytical formula of the control function to study this kind of synchronization.An excellent agreement is found upon comparison this analytical formula with numericalexperiments.

SOME COMPLEX DYNAMICAL BEHAVIORS OF THE NEW 6D FRACTIONAL-ORDER HYPERCHAOTIC LORENZ-LIKE SYSTEM