  We examine the stability of a 1D electrical transmission line in the
simultaneous presence of PT-symmetry and fractionality. The array contains a
binary gain/loss distribution $\gamma_{n}$ and a fractional Laplacian
characterized by a fractional exponent $\alpha$. For an infinite periodic
chain, the spectrum is computed in closed form, and its imaginary sector is
examined to determine the stable/unstable regions as a function of the
gain/loss strength and fractional exponent. In contrast to the non-fractional
case where all eigenvalues are complex for any gain/loss, here we observe that
a stable region can exist when gain/loss is small, and the fractional exponent
is below a critical value, $0 < \alpha < \alpha_{c1}$ . As the fractional
exponent is decreased further, the spectrum acquires a gap with two nearly-flat
bands. We also examined numerically the case of a finite chain of size N.
Contrary to what happens in the infinite chain, here the stable region always
lies above a critical value $\alpha_{c2} < \alpha < 1$. An increase in
gain/loss or $N$ always reduces the width of this stable region until it
disappears completely.
