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Young neutron stars (NSs) born in core-collapse explosions are promisingcandidates for the central engines of fast radio bursts (FRBs), since the firstlocalized repeating burst FRB 121102 happens in a star forming dwarf galaxy,which is similar to the host galaxies of superluminous supernovae (SLSNe) andlong gamma-ray bursts (LGRBs). However, FRB 180924 and FRB 190523 are localizedto massive galaxies with low rates of star formation, compared with the host ofFRB 121102. Meanwhile, the offsets between the bursts and host centers areabout 4 kpc and 29 kpc for FRB 180924 and FRB 190523, respectively. Theseproperties of hosts are similar to short gamma-ray bursts \textbf{(SGRBs)},which are produced by mergers of binary neutron star (BNS) or neutronstar-black hole (NS-BH). Therefore, the NSs powering FRBs may be formed in BNSmergers. In this paper, we study the BNS merger rates, merger times, andpredict their most likely merger locations for different types of host galaxiesusing population synthesis method. We find that the BNS merger channel isconsistent with the recently reported offsets of FRB 180924 and FRB 190523. Theoffset distribution of short GRBs is well reproduced by population synthesisusing galaxy model which is similar to GRB hosts. The event rate of FRBs(including non-repeating and repeating), is larger than those of BNS merger andshort GRBs, which requires a large fraction of observed FRBs emitting severalbursts. Using curvature radiation by bunches in NS magnetospheres, we alsopredict the observational properties of FRBs from BNS mergers, including thedispersion measure, and rotation measure. At late times ($t\geq1$yr), thecontribution to dispersion measure and rotation measure from BNS merger ejectacould be neglected.

Fast radio bursts from activities of neutron stars newborn in BNS mergers: offset, birth rate and observational properties