LAKHDARI Abdelghani2025-09-172025-09-172024http://dspace.ensti-annaba.dz:4000/handle/123456789/8582026, Volume 22: 353-371. Doi: 10.3934/dcdss.2024216This paper addresses a fractional biparabolic inverse source problem that integrates fractional derivatives with the biparabolic equation to achieve a more precise characterization of anomalous diffusion. We show that this problem is ill-posed according to Hadamard’s sense. To tackle the instability associated with this problem, we apply regularization techniques using the Landweber iterative method. We provide convergence estimates based on a priori information on the exact solution. The paper concludes with numerical experiments that confirm the validity of the proposed theoretical framework.enInverse problemfractional biparabolic problemregularizationLandweber iterative methodArticle