  Dynamical systems involving non-local derivative operators are of great
importance in Mathematical analysis and applications. This article deals with
the dynamics of fractional order systems involving Caputo derivatives. We take
a review of the solutions of linear dynamical systems
${}_0^C\mathrm{D}_t^\alpha X(t)=AX(t)$, where the coefficient matrix $A$ is in
canonical form. We describe exact solutions for all the cases of canonical
forms and sketch phase portraits of planar systems.
  We discuss the behavior of the trajectories when the eigenvalues $\lambda$ of
$A$ are at the boundary of stable region i.e.
$|arg(\lambda)|=\frac{\alpha\pi}{2}$. Further, we discuss the existence of
singular points in the trajectories of such systems in a region of $\mathbb{C}$
viz. Region II. It is conjectured that there exists singular point in the
solution trajectories if and only if $\lambda\in$ Region II.
