Abstract:This paper explores the stochastic resonance (SR) of a coupled fractional harmonic oscillator system with mass fluctuation. The Shapiro-Loginov formula and Laplace transform are applied to obtain the analytical expression of the output amplitude gain (OAG) of the system, and the dependence of OAG on the system parameters are studied. Numerical simulation shows that the SR of OAG can be induced by the strength of noise, the signal frequency and the damping intensity. Meanwhile, the fractional order and coupling parameter have an impact on the SR of OAG as well.