In this work we study a strongly coupled system between the equation of plates with fractional rotational inertial force κ ( - Δ ) β u tt where the parameter 0 ≤1 and the equation of an electrical network containing a fractional dissipation term δ ( - Δ ) θ v t where the parameter 0≤ θ≤1, the strong coupling terms are given by the Laplacian of the displacement speed γ Δ u t and the Laplacian electric potential field γ Δ v t . When β=1 we have the Kirchoff-Love plate and when β=0, we have the Euler-Bernoulli plate recently studied in Suárez-Mendes (2022)[ Suarez]. The contributions of this research are: We prove the semigroup S( t) associated with the system is not analytic in ( θ,β)∈[0 ,1]×(0 ,1]-{(1 ,1/2)}. We also determine two Gevrey classes: s 1 > 3 - β 1 + β and s 2 > 2 ( 2 + θ - β ) θ when the parameters θ and β lies in the interval (0 ,1) and we finish by proving that at the point ( θ,β)=(1 ,1/2) the semigroup S( t) is analytic and with a note about the asymptotic behavior of S( t). We apply semigroup theory, the frequency domain method together with multipliers and the proper decomposition of the system components and Lions interpolation inequality.