In order to solve the problem of losing texture information in the existing image denoising algorithms, fractional calculus based on the definition of Riemann-Liouville was applied to image denoising. The structures and numerical calculation methods of the fractional integral masks on eight directions were given. Then, the corresponding circuit model was proposed. The qualitative and quantitative analysis of the simulation experiments proved that this method could be applied to both grayscale images and color images. And through this method, the fractional integral operation could be completed one off, the noises could be removed in high precision and the texture information of the images could be held on. The method could be used to image denoising in real time.