In the past decade , a new class of bright transient radio sources with millisecond duration has been discovered .
The origin of these so-called Fast Radio Bursts ( FRBs ) is still a great mystery despite the growing observational efforts made by various multi-wavelength and multi-messenger facilities .
So far , many models have been proposed to explain FRBs but neither the progenitors nor the radiative and the particle acceleration processes at work have been clearly identified .
In this paper , the question whether some hadronic processes may occur in the vicinity of the FRB source is assessed .
If so , FRBs may contribute to the high energy cosmic-ray and neutrino fluxes .
A search for these hadronic signatures has been done using the ANTARES neutrino telescope .
The analysis consists in looking for high-energy neutrinos , in the TeV-PeV regime , spatially and temporally coincident with the detected FRBs .
Most of the FRBs discovered in the period 2013-2017 were in the field of view of the ANTARES detector , which is sensitive mostly to events originating from the Southern hemisphere .
From this period , 12 FRBs have been selected and no coincident neutrino candidate was observed .
Upper limits on the per burst neutrino fluence have been derived using a power law spectrum , { \frac { dN } { dE _ { \nu } } \propto E _ { \nu } ^ { - \gamma } } , for the incoming neutrino flux , assuming spectral indexes \gamma = 1.0 , 2.0 , 2.5 .
Finally , the neutrino energy has been constrained by computing the total energy radiated in neutrinos assuming different distances for the FRBs .
Constraints on the neutrino fluence and on the energy released are derived from the associated null results .