  We investigate a possibility to explain the discrepancy between the Standard
Model predictions and the observed value of the anomalous magnetic moment of
the muon within unorthodox SUSY scenarios in which neutralinos are unstable. We
start by reviewing the muon g-2 calculations in the MSSM and confront it with
the most up-to-date experimental constraints. We find out that the next
generation of direct detection DM experiments combined with the current LHC
results will ultimately test the parameter region that can explain the
$(g-2)_\mu$ anomaly in the MSSM. Next, we study R-parity violating and
gauge-mediated SUSY-breaking scenarios with unstable neutralinos. These models
do not provide a viable DM candidate, which allows them to evade the DM
constraints. We find that in RPV and GMSB with slepton NLSP the LHC constraints
are weaker, and a large region of parameter space can explain the observed
anomaly and evade experimental limits.
