  In this paper, based on the usual techniques of Gauge/gravity duality, we
derive the Ginzburg-Landau current for $ s $- wave superconductors in the
presence of higher derivative corrections to the abelian gauge sector in the
bulk. It has been observed that at sufficiently low temperatures the $U(1)$
current thus computed at the boundary varies inversely with the sixth power of
the temperature ($ T $) which therefore gives rise to the phenomenon like
anomalous superconductivity for the boundary theory. Interestingly we note that
this anomalous effect is associated with the leading order higher derivative
corrections to the $ U(1) $ sector in the bulk.
