  We present results from our deep Far-ultraviolet (FUV) survey using {\em
AstroSat}/UVIT of a filamentary structure at $z$ $\sim$ $0.072$. A total of
four filaments comprising 58 galaxies were probed in our study. We detect 18
filament galaxies in our FUV observation. All filament galaxies are further
classified based on their photometric color, nuclear activity, and morphology.
The filaments contain galaxies with mixed stellar population types and
structures. We do not detect galaxies in our UVIT survey up to a distance of
0.4~Mpc $h^{-1}$ from the filament axis, implying a lack of recent star
formation in the inner region of filaments. The FUV star formation rate (SFR)
for star-forming galaxies agrees well with the SFR$_{\rm 144 MHz}$ calculated
using Low-Frequency Array (LOFAR) radio-continuum observations. We witness an
increase in FUV specific-SFR (sSFR) of filament galaxies with increasing
distance from the filament spine (D$_{\rm fil}$). The intermediate-to-high
stellar mass filament galaxies were more star-forming than cluster galaxies in
a fixed stellar mass bin. The FUV morphology of some filament galaxies detected
in the filament outskirts (D$_{\rm fil}$ $\gtrsim$ 0.7~Mpc $h^{-1}$) is
comparable to or slightly extended than their optical counterpart. The mass
assembly of galaxies examined by estimating $(FUV-r)$ color gradients show that
more `red-cored' galaxies reside in the outer region of the filaments. Our
results prove that the likelihood of merger interaction and gas starvation
increases when approaching the filament spine. We report a definitive and
in-homogeneous impact of filaments on the galaxies residing inside them.
