  The behavior of solution trajectories usually changes if we replace the
classical derivative in a system by a fractional one. In this article, we throw
a light on the relation between two trajectories $X(t)$ and $Y(t)$ of such a
system, where the initial point $Y(0)$ is at some point $X(t_1)$ of trajectory
$X(t)$. In contrast with classical systems, trajectories $X$ and $Y$ do not
follow the same path. Further, we provide a Frenet apparatus of both
trajectories in various cases and discuss their effect.
