  In this paper, we resort to the Laplace transform method in order to show its
efficiency when approaching some types of fractional differential equations. In
particular, we present some applications of such methods when applied to
possible generalizations of certain physical problems in linear viscoelasticity
and harmonic oscillators, proving that fractional calculus is well suited for
the modelling and solving of problems usually treated by ordinary integer
calculus, with the promissing advantages of being able to provide more accurate
theoretical predictions to fit with experimental data.
  OBS: Article in portuguese accepted for publication at RBEF (Revista
Brasileira de Ensino de F\'isica).
