Identification of the Source Term of an Ill-Posed Inverse Fractional Parabolic Problem

  • Fatma Achab
  • Iqbal Batiha Al Zaytoonah University of Jordan
  • Taki-Eddine Oussaeif
  • Imad Rezzoug

Abstract

In this paper, we consider an ill-posed inverse fractional problem on the sense of
the Hadamard. We aim to identify the source term by Tikhonov regularization. Since
the initial condition is missing, we thought to use the no-regret control to solve our
regularization problem. An optimality system characterized the source term.

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Published
2025-12-20
Section
Advances in Nonlinear Analysis and Applications