A feature common to various solids, including single-alkali (SA) and mixed-alkali (MA) glasses, is a frequency-dependent ionic conductivity that shows the power law and the linear behavior with frequency. In spite of the advances made, the origin of this behavior continues to be controversial. We report our measurements of the conductivity of a series of MA borate glasses (Li 1−x A x ) 2 B 4 O 7 (A = Na, K, Rb, Cs; 0 x 1.0) in the frequency range of 100 Hz-15 MHz and in the temperature range from 300 K to less than the glass transition temperature T g . Using a self-similar spatial structure model, we show that the real process of ionic transport in the SA and the MA glass systems can be described by the fractional kinetic equations containing noninteger integration/differentiation operators. In the procedure of a systematic deduction of the ionic transport in glass systems, we obtained two important 4