On Second Order Shape Optimization Methods for Electrical Impedance Tomography. - Lekbir Afraites; Michel Dambrine; Djalil Kateb (SIAM J. Control. Optim., 2008)

A novel image denoising approach based on a non-convex constrained PDE: application to ultrasound images. - Aissam Hadri; Lekbir Afraites; Amine Laghrib; Mourad Nachaoui (Signal Image Video Process., 2021)

A Regularization by Denoising super-resolution method based on genetic algorithms. - Mourad Nachaoui; Lekbir Afraites; Amine Laghrib (Signal Process. Image Commun., 2021)

A weighted parameter identification PDE-constrained optimization for inverse image denoising problem. - Lekbir Afraites; Aissam Hadri; Amine Laghrib; Mourad Nachaoui (Vis. Comput., 2022)

Coupled complex boundary method for a geometric inverse source problem. - Lekbir Afraites; Chorouk Masnaoui; Mourad Nachaoui (RAIRO Oper. Res., 2022)

An inverse problem of identifying the coefficient in a nonlinear time-fractional diffusion equation. - Abdessamad Oulmelk; Lekbir Afraites; Aissam Hadri (Comput. Appl. Math., 2023)

An Optimal Fluid Optical Flow Registration for Super-resolution with Lamé Parameters Learning. - Abdelmajid El Hakoume; Amine Laghrib; Aissam Hadri; Lekbir Afraites (J. Optim. Theory Appl., 2023)

An artificial neural network approach to identify the parameter in a nonlinear subdiffusion model. - Abdessamad Oulmelk; Mohammed Srati; Lekbir Afraites; Aissam Hadri (Commun. Nonlinear Sci. Numer. Simul., 2023)

On a Mathematical Analysis of a Coupled System Adapted to MRI Image Denoising. - Abdelmajid El Hakoume; Z. Zaabouli; Lekbir Afraites; Amine Laghrib (J. Nonlinear Sci., 2023)

Alternating direction multiplier method to estimate an unknown source term in the time-fractional diffusion equation. - Abdessamad Oulmelk; Lekbir Afraites; Aissam Hadri; Mahmoud A. Zaky; Ahmed S. Hendy (Comput. Math. Appl., 2024)

A robust alternating direction method of multipliers numerical scheme for solving geometric inverse problems in a shape optimization setting. - Julius Fergy T. Rabago; Aissam Hadri; Lekbir Afraites; Ahmed S. Hendy; Mahmoud A. Zaky (Comput. Math. Appl., 2024)

A variational PDNet network using a learning reaction-diffusion equation. - Abdelmajid El Hakoume; Amine Laghrib; Lekbir Afraites; Aissam Hadri (Expert Syst. Appl., 2024)

A novel coupled p ( x ) and fractional PDE denoising model with theoretical results. - Z. Zaabouli; Abdelmajid El Hakoume; Lekbir Afraites; Amine Laghrib (Int. J. Comput. Math., 2024)

Physics-informed convolution gated recurrent unit network for solving an inverse problem. - Mohammed Srati; Aissam Hadri; Lekbir Afraites (Neurocomputing, 2024)

Tensor-guided learning for image denoising using anisotropic PDEs. - Fakhr-eddine Limami; Aissam Hadri; Lekbir Afraites; Amine Laghrib (Mach. Vis. Appl., 2024)

Boundary shape reconstruction with Robin condition: existence result, stability analysis, and inversion via multiple measurements. - Lekbir Afraites; Julius Fergy T. Rabago (Comput. Appl. Math., 2024)

Enhancing image quality through fractional PDEs: A novel approach to image osmosis. - Fakhr-eddine Limami; Amine Laghrib; Lekbir Afraites; Mourad Nachaoui (Comput. Math. Appl., 2025)

Nonsmooth optimization method for determining nonsmooth potential parameter in nonlinear subdiffusion equation. - Abdessamad Oulmelk; Lekbir Afraites; Aissam Hadri; Mahmoud A. Zaky; Ahmed S. Hendy; Xiangcheng Zheng; Hong Wang (Commun. Nonlinear Sci. Numer. Simul., 2025)

Existence of solution for a coupled diffusion PDE system for various noise reduction. - A. Mohssine; Lekbir Afraites; Aissam Hadri; Amine Laghrib (J. Comput. Appl. Math., 2025)

Learning primal-dual approach for space-dependent diffusion coefficient identification in fractional diffusion equations. - Mohammed Srati; Abdessamad Oulmelk; Lekbir Afraites; Aissam Hadri; Mahmoud A. Zaky; Ahmed S. Hendy (J. Comput. Phys., 2025)

On a computational paradigm for a class of fractional order direct and inverse problems in terms of physics-informed neural networks with the attention mechanism. - Mohammed Srati; Abdessamad Oulmelk; Lekbir Afraites; Aissam Hadri; Mahmoud A. Zaky; Ahmed S. Hendy (J. Comput. Sci., 2025)

A novel time-fractional decomposition model for image denoising integrating Caputo derivative. - Z. Zaabouli; Lekbir Afraites; Amine Laghrib (Math. Comput. Simul., 2025)

Detecting an Immersed Obstacle in Stokes Fluid Flow Using the Coupled Complex Boundary Method. - Julius Fergy T. Rabago; Lekbir Afraites; Hirofumi Notsu (SIAM J. Control. Optim., 2025)

Machine Learning for Optimal Player Substitutions in Soccer. - Marouane Baadi; Zakaria Khoudi; Lekbir Afraites; Soufiane Lyaqini (SN Comput. Sci., 2025)

Numerical solution by shape optimization method to an inverse shape problem in multi-dimensional advection-diffusion problem with space dependent coefficients. - El mehdi Cherrat; Lekbir Afraites; Julius Fergy T. Rabago (CoRR, 2025)

Simultaneous recovery of a corroded boundary and admittance using the Kohn-Vogelius method. - Moustapha Essahraoui; El mehdi Cherrat; Lekbir Afraites; Julius Fergy T. Rabago (CoRR, 2025)