Fractional derivative based nonlinear diffusion model for image denoising

In this article, a new conformable fractional anisotropic diffusion model for image denoising is presented, which contains the spatial derivative along with the time-fractional derivative. This model is a generalization of the diffusion model (Welk et al. in Scale space. Springer, Berlin, pp 585–597, 2005) with forward–backward diffusivities. The proposed model is very efficient for noise removal of the noisy images in comparison to the classical anisotropic diffusion model. The numerical experiments are performed using an explicit scheme for different-different values of fractional order derivative $$\alpha $$ . The experimental results are obtained in terms of peak signal to noise ratio (PSNR) as a metric.