Conformable derivative: A derivative associated to the Riemann-Stieltjes integral

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dc.contributor.authorAtangana, Abdon
dc.contributor.authorAkgül, Ali
dc.contributor.authorKhan, Muhammad Altaf
dc.contributor.authorIbrahim, Rabha Waell
dc.date.accessioned2024-12-24T19:10:19Z
dc.date.available2024-12-24T19:10:19Z
dc.date.issued2022
dc.departmentSiirt Üniversitesi
dc.description.abstractIn mathematics, the Riemann-Stieltjes integral (Formula Presented) is known to be the more general version of the well-known Riemann integral that is used in classical integral calculus. This integral has found application in several fields. However, there is no clear derivative associate to the generalized integral, except the concept of global derivative that was suggested very recently. Nevertheless, a more generalized differential operator called conformable derivative was suggested and many concerns have been raised as what such operator cannot be considered as derivative. In this paper, we proved that not only the operator is a derivative but a derivative associate to the well-known Riemann-Stieltjes integral. We have in addition present some applications of the conformable derivative in image processing and dynamical processes including chaos and epidemiology © 2022. NSP Natural Sciences Publishing Cor
dc.identifier.doi10.18576/pfda/080211
dc.identifier.endpage348
dc.identifier.issn2356-9336
dc.identifier.issue2
dc.identifier.scopus2-s2.0-85129899255
dc.identifier.scopusqualityQ2
dc.identifier.startpage321
dc.identifier.urihttps://doi.org10.18576/pfda/080211
dc.identifier.urihttps://hdl.handle.net/20.500.12604/4037
dc.identifier.volume8
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherNatural Sciences Publishing
dc.relation.ispartofProgress in Fractional Differentiation and Applications
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.snmzKA_20241222
dc.subjectAnd epidemiology
dc.subjectChaos
dc.subjectConformable derivative
dc.subjectFractal calculus
dc.subjectImage processing
dc.subjectStieltjes integral
dc.titleConformable derivative: A derivative associated to the Riemann-Stieltjes integral
dc.typeArticle

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