Trajectories of maximum deviation in a controllable mechanical system with conformable fractional derivatives

This paper presents a method to determine trajectories of maximum deviation and closed trajectories of maximum deviation in a conformable fractional differential equation that models a controllable mechanical system that admits impacts in its dynamics. The closed trajectories of maximum deviation are obtained as a solution to the problem of maximum deviation. It is also shown that the closed trajectories of maximum deviation that are obtained are independent of the order of the conformable fractional derivative of the conformable fractional differential equation. The results obtained are illustrated numerically.