  In the present work, we extend and generalize our previous work regarding the
scale dependence applied to black holes in the presence of non-linear
electrodynamics [1]. The starting point for this study is the
Einstein-power-Maxwell theory with a vanishing cosmological constant in (3+1)
dimensions, assuming a scale dependence of both the gravitational and the
electromagnetic coupling. We further examine the corresponding thermodynamic
properties and how these quantities experience deviations from their classical
counterparts. We solve the effective Einstein's field equations using the "null
energy condition" to obtain analytical solutions. The implications of quantum
corrections are also briefly discussed. Finally, we analyze our solutions and
compare them to related results in the literature.
