Trace Formulae for a Conformable Fractional Diffusion Operator
Filomat, cilt.36, sa.14, ss.4665-4674, 2022 (SCI-Expanded)
- 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.