  We study numerically a two-dimensional random-bond Ising model where
frustration can be tuned by varying the fraction $a$ of antiferromagnetic
coupling constants. At low temperatures the model exhibits a phase with
ferromagnetic order for sufficiently small values of $a$, $a<a_f$. In an
intermediate range $a_f<a<a_a$ the system is paramagnetic, with spin glass
order expected right at zero temperature. For even larger values $a>a_a$ an
antiferromagnetic phase exists. After a deep quench from high temperatures,
slow evolution is observed for any value of $a$. We show that different amounts
of frustration, tuned by $a$, affect the dynamical properties in a highly non
trivial way. In particular, the kinetics is logarithmically slow in phases with
ferromagnetic or antiferromagnetic order, whereas evolution is faster, i.e.
algebraic, when spin glass order is prevailing. An interpretation is given in
terms of the different nature of phase space.
