ON FRACTIONAL BIPARABOLIC INVERSE SOURCE PROBLEM
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Date
2024
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Discrete and Continuous Dynamical Systems - Series S
Abstract
This 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.
Description
doi:10.3934/dcdss.2024216