ON FRACTIONAL BIPARABOLIC INVERSE SOURCE PROBLEM

Lakhdari A., Boussetila N., Abdeljawad T., BEN Makhlouf A.

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES S, cilt.22, ss.353-371, 2026 (SCI-Expanded, Scopus) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 22
  • Basım Tarihi: 2026
  • Doi Numarası: 10.3934/dcdss.2024216
  • Dergi Adı: DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES S
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Applied Science & Technology Source, MathSciNet, zbMATH
  • Sayfa Sayıları: ss.353-371
  • Kocaeli Üniversitesi Adresli: Hayır

Özet

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.