This paper considers a three species predator-prey model with Holling type II response in fractional order . The model is investigated with the assumption that apex predator consumes both the logistically growing prey and the mesopredators. Stability properties and the existence of periodic solutions are examined for the equilibrium points and the results are strengthened with the numerical simulations. Time evolution of the Lyapunov Exponents of the fractional order system is tabulated and

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... mics of the Lyapunov Exponent is discussed with the 2-D plot. Also, the effect of the fractional order on the dynamics of the system is analyzed. Time plots, phase plane graphs and bifurcations diagrams are presented.