  We shall obtain the interaction of the D$p_1$- and D$p_2$-branes in the
toroidal-orbifold spacetime $\mathit{T}^{n}\times\mathbb{R}^{1, d-n-5}
\times\mathbb{C}^{2}/\mathbb{Z}_{2}$. The configuration of the branes is:
non-intersecting, perpendicular, moving-rotating, wrapped-fractional with
background fields. For this, we calculate the bosonic boundary state
corresponding to a dynamical fractional-wrapped D$p$-brane in presence of the
Kalb-Ramond field, a $U(1)$ gauge potential and an open string tachyon field.
The long-range behavior of the interaction amplitude will be extracted.
