Trace Formulae for a Conformable Fractional Diffusion Operator

ÇAKMAK Y.

Filomat, cilt.36, sa.14, ss.4665-4674, 2022 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 36 Sayı: 14
  • Basım Tarihi: 2022
  • Doi Numarası: 10.2298/fil2214665c
  • Dergi Adı: Filomat
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, zbMATH
  • Sayfa Sayıları: ss.4665-4674
  • Anahtar Kelimeler: conformable fractional derivative, Diffusion operator, trace formula
  • Sivas Cumhuriyet Üniversitesi Adresli: Evet

Özet

In this paper, we obtain the regularized trace formulae for a diffusion operator, which includes conformable fractional derivatives of order α (0 < α ≤ 1) instead of the ordinary derivatives in a traditional diffusion operator by the contour integration method. The results of this paper are of great importance in solving inverse problems and can be considered as partial fractional generalizations.