Geodesic
Transmutation of conformable Sturm-Liouville operator with exactly solvable potential
Filomat, Tome 37 (2023) no. 11, p. 3383

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DOI

In this paper, we proved transformation operator for fractional Sturm-Liouville operator, using conformable derivative approach, which is different from classical Sturm-Liouville operator. Especially, we obtained a Hyperbolic partial differential equation and some suitable conditions for nucleus function K(x, t). Finally, we obtained a Fredholm integral equation. The proof is validated by taking α = 1 which returns the original problem.
DOI : 10.2298/FIL2311383S
Classification : 34B24, 34C20
Keywords: Fractional differentiation, Transformation operator, Sturm-Liouville operator 
Auwalu Sa; idu; Hikmet Koyunbakan. Transmutation of conformable Sturm-Liouville operator with exactly solvable potential. Filomat, Tome 37 (2023) no. 11, p. 3383 . doi: 10.2298/FIL2311383S
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     title = {Transmutation of conformable {Sturm-Liouville} operator with exactly solvable potential},
     journal = {Filomat},
     pages = {3383 },
     year = {2023},
     volume = {37},
     number = {11},
     doi = {10.2298/FIL2311383S},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2311383S/}
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