%0 Journal Article
%T Caputo fractional-time of a modified Cahn-Hilliard equation for the inpainting of binary images
%J Journal of Mathematical Modeling
%I University of Guilan
%Z 2345-394X
%A Ben-loghfyry, Anouar
%A Hakim, Abdelilah
%D 2023
%\ 07/01/2023
%V 11
%N 2
%P 357-373
%! Caputo fractional-time of a modified Cahn-Hilliard equation for the inpainting of binary images
%K Image inpainting
%K Cahn-Hilliard equation
%K time-fractional
%K Caputo derivative
%K finite difference
%K convexity splitting
%R 10.22124/jmm.2023.22019.1938
%X In this work, we present a new version of the Cahn-Hilliard equation to deal with binary image inpainting. The proposed model is unique due to its memory effect ability implemented by the time fractional derivative. Also, this model has a new diffusion term that gives a topological reconnection and a well sharpness of edges and corners. We give an existence result with some numerical tests implemented by the convexity splitting to show the efficiency of the proposed model.
%U https://jmm.guilan.ac.ir/article_6569_14fe58a8b8c38ca8a79b156afc8ca4ff.pdf