  The search for neutrino events in correlation with several of the most
intense fast radio bursts (FRBs) has been performed using the Borexino data. We
have searched for signals with visible energies above $250$~keV within a time
window of $\pm$1000~s corresponding to the detection time of a particular FRB.
We also applied an alternative approach based on searching for specific shapes
of neutrino-electron scattering spectra in the full exposure spectrum of the
Borexino detector. In particular, two incoming neutrino spectra were
considered: the monoenergetic line and the spectrum expected from supernovae.
The same spectra were considered for electron antineutrinos detected through
the inverse beta-decay reaction. No statistically significant excess over the
background was observed. As a result, the strongest upper limits on
FRB-associated neutrino fluences of all flavors have been obtained in the $0.5
- 50$~MeV neutrino energy range.
