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Stochastic resonance (SR), as one of the noise enhanced order phenomena, was initially proposed by Benzi et al [1].and has been extensively investigated in the background of normal diffusion[2].Recently there is an increasing interest in exploring the stochastic resonance in complex systems with anomalous diffusion [3].which has been used to model a lot of physical and chemistry processes deriving from the classical diffusion theory and showing strong memory effects on the past state and highly non-exponential relaxation.