Transmutation of conformable Sturm-Liouville operator with exactly solvable potential

dc.contributor.authorSa'idu, Auwalu
dc.contributor.authorKoyunbakan, Hikmet
dc.date.accessioned2026-08-12T17:38:00Z
dc.date.issued2023
dc.departmentFırat Üniversitesi
dc.description.abstractIn 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 alpha = 1 which returns the original problem.
dc.identifier.doi10.2298/FIL2311383S
dc.identifier.endpage3390
dc.identifier.issn0354-5180
dc.identifier.issue11
dc.identifier.orcid0000-0002-7664-1467
dc.identifier.orcid0000-0003-4576-9553
dc.identifier.scopus2-s2.0-85149729430
dc.identifier.scopusqualityQ2
dc.identifier.startpage3383
dc.identifier.urihttps://doi.org/10.2298/FIL2311383S
dc.identifier.urihttps://hdl.handle.net/11508/58275
dc.identifier.volume37
dc.identifier.wosWOS:000965678200004
dc.identifier.wosqualityQ2
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherUniv Nis, Fac Sci Math
dc.relation.ispartofFilomat
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/openAccess
dc.snmzKA_WoS_20260511
dc.subjectFractional differentiation
dc.subjectTransformation operator
dc.subjectSturm-Liouville operator
dc.titleTransmutation of conformable Sturm-Liouville operator with exactly solvable potential
dc.typeArticle

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