  We study the baryon in holographic QCD with $D4/D8/\bar{D8}$ multi-$D$ brane
system. In holographic QCD, the baryon appears as a topologically non-trivial
chiral soliton in a four-dimensional effective theory of mesons. We call this
topological soliton as Brane-induced Skyrmion. Some review of $D4/D8/\bar{D8}$
holographic QCD is presented from the viewpoints of recent hadron physics and
phenomenologies. Four-dimensional effective theory with pions and $\rho$ mesons
is uniquely derived from the non-abelian Dirac-Born-Infeld (DBI) action of $D8$
brane with $D4$ supergravity background, without small amplitude expansion of
meson fields to discuss chiral solitons. For the hedgehog configuration of pion
and $\rho$-meson fields, we derive the energy functional and the Euler-Lagrange
equation of Brane-induced Skyrmion from the meson effective action induced by
holographic QCD. Performing the numerical calculation, we obtain the pion
profile $F(r)$ and the $\rho$-meson profile $G(r)$ of the Brane-induced
Skyrmion, and estimate its total energy, energy density distribution, and
root-mean-square radius. These results are compared with the experimental
quantities of baryons and also with the profiles of standard Skyrmion without
$\rho$ mesons. We analyze interaction terms of pions and $\rho$ mesons in
Brane-induced Skyrmion, and consider the role of $\rho$-meson component
appearing in baryons.
