  Families of coupled solitons of $\mathcal{PT}$-symmetric physical models with
gain and loss in fractional dimension and in settings with and without
cross-interactions modulation (CIM), are reported. Profiles, powers, stability
areas, and propagation dynamics of the obtained $\mathcal{PT}$-symmetric
coupled solitons are investigated. By comparing the results of the models with
and without CIM, we find that the stability area of the model with CIM is much
broader than the one without CIM. Remarkably, oscillating
$\mathcal{PT}$-symmetric coupled solitons can also exist in the model of CIM
with the same coefficients of the self- and cross-interactions modulations. In
addition, the period of these oscillating coupled solitons can be controlled by
the linear coupling coefficient.
