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The behavior of solution trajectories usually changes if we replace theclassical derivative in a system by a fractional one. In this article, we throwa light on the relation between two trajectories $X(t)$ and $Y(t)$ of such asystem, 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 notfollow the same path. Further, we provide a Frenet apparatus of bothtrajectories in various cases and discuss their effect.

Analysis of solution trajectories of linear fractional order systems