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We investigate the vacuum expectation value of the fermionic current inducedby a magnetic flux in a (2+1)-dimensional conical spacetime in the presence ofa circular boundary. On the boundary the fermionic field obeys MIT bag boundarycondition. For irregular modes, a special case of boundary conditions at thecone apex is considered, when the MIT bag boundary condition is imposed at afinite radius, which is then taken to zero. We observe that the vacuumexpectation values for both charge density and azimuthal current are periodicfunctions of the magnetic flux with the period equal to the flux quantumwhereas the expectation value of the radial component vanishes. For bothexterior and interior regions, the expectation values of the current aredecomposed into boundary-free and boundary-induced parts. For a massless fieldthe boundary-free part in the vacuum expectation value of the charge densityvanishes, whereas the presence of the boundary induces nonzero charge density.Two integral representations are given for the boundary-free part in the caseof a massive fermionic field for arbitrary values of the opening angle of thecone and magnetic flux. The behavior of the induced fermionic current isinvestigated in various asymptotic regions of the parameters. At distances fromthe boundary larger than the Compton wavelength of the fermion particle, thevacuum expectation values decay exponentially with the decay rate depending onthe opening angle of the cone. We make a comparison with the results alreadyknown from the literature for some particular cases.

Fermionic current densities induced by magnetic flux in a conical space with a circular boundary