Çakmak, Yaşar2023-06-232023-06-232022Çakmak, Y., Trace Formulae for a Conformable Fractional Diffusion Operator, Filomat, 36 (14), (2022), 4665–4674.https://hdl.handle.net/20.500.12418/14058In 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.en10.2298/FIL2214665Cinfo:eu-repo/semantics/openAccessDiffusion operator, trace formula, conformable fractional derivativeTrace Formulae for a Conformable Fractional Diffusion OperatorArticle3614467446652-s2.0-85146287041N/AWOS:000904579900004Q3