Geodesic
Trace formulae for a conformable fractional diffusion operator
Filomat, Tome 36 (2022) no. 14, p. 4665

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DOI

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.
DOI : 10.2298/FIL2214665C
Classification : 26A33, 34B24, 11F72, 34L05, 34L20
Keywords: Diffusion operator, trace formula, conformable fractional derivative 
Yaşar Çakmak. Trace formulae for a conformable fractional diffusion operator. Filomat, Tome 36 (2022) no. 14, p. 4665 . doi: 10.2298/FIL2214665C
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     author = {Ya\c{s}ar \c{C}akmak},
     title = {Trace formulae for a conformable fractional diffusion operator},
     journal = {Filomat},
     pages = {4665 },
     year = {2022},
     volume = {36},
     number = {14},
     doi = {10.2298/FIL2214665C},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2214665C/}
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