In this paper, full state hybrid projective synchronization of two new incommensurate fractional hyperchaotic
systems are presented. The synchronization is achieved under a master–slave configuration in which these systems have
different fractional orders. The synchronization scheme and control technique are performed subject to parameter
uncertainty in both master and slave systems. The main idea of such asymptotical synchronization is an adaptive mechanism
which employs Lyapunov stability criterion. Numerical simulations support the proposed techniques.