Analysis of a New Fractional Variational Model for Image Noise Removal

In this paper, a new variational model based on fractional-order partial differential is proposed for removing noise. We analyse the mathematical property of the proposed model, and prove our model exists the unique weak solution on fractional-order bounded variation space. Numerical analysis and Matlab simulation are also implemented, the experimental results show that the proposed model doesn't only have better denoising ability than some existing integer-order and fractional-order variational models, but also preserved better the textural details and eliminated obviously the staircase effect.