Large $(g-2)_{\mu}$ and signals of decays $e_b\rightarrow e_a\gamma$ in a 3-3-1 model with inverse seesaw neutrinos

We show that under current experimental bound of the decays $e_a\rightarrow e_b\gamma$, the recent experimental data of the muon anomalous magnetic dipole moment $(g-2)_{\mu}$ can be explained in the framework of the 3-3-1 model with right handed neutrinos. In addition, all of these branching ratios can reach closely the recent experimental upper bounds.