Chaos is described as a unstable dynamic behavior
with dependence on initial conditions. The control and synchronization
of chaotic systems requires the knowledge of parameters
in advance. Recently researcher's has been shifted from integer
order chaotic system to fraction order chaotic system. In this
work, based on the stability theory of integer-order linear systems
and Lyapunov stability theory, we present some control schemes
to achieve a new type of synchronization called inverse generalized
synchronization between different dimensional integer
and fractional-orders chaotic systems. The effectiveness of the
proposed approaches are verified by two numerical examples.