  In this work we wish to highlight some consequences of a recent result proved
in [N. D. Cong and H. T. Tuan, Generation of nonlocal fractional dynamical
systems by fractional differential equations, J. Integral Equations Appl. 29
(2017), no. 4, 585-608]. Particular emphasis will be given to its application
on fractional variational problems of Herglotz type.
