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Author

Abderrahim Charkaoui

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#diffusion models Open access Oct 2026

On a nonlinear evolution equation with spatially variable growth arising in multi-frame image super-resolution modeling

We study a nonlinear evolution equation with spatially variable growth arising from a regularized diffusion model for image restoration. The proposed model features a variable-exponent diffusion operator, allowing adaptive control of the diffusion intensity across the image domain, which enables effective noise suppres...

Abderrahim Charkaoui, Anouar Ben-Loghfyry · 0 citations

Existence, Uniqueness, and Numerical Experiments for a Caputo Fractional PDE With Variable‐Exponent Diffusion in Image Denoising

ABSTRACT We propose a novel nonlinear evolution model that integrates a Caputo time‐fractional derivative with a variable exponent diffusion operator for image decomposition and noise removal. The Caputo derivative captures memory effects through a fractional order, while the spatially adaptive exponent allows the diff...

Anouar Ben-Loghfyry, Abderrahim Charkaoui · 0 citations

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