New Properties for Conformable Fractional Derivative and Applications

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dc.contributor.authorSadek, Lakhlifa
dc.contributor.authorAkgül, Ali
dc.date.accessioned2024-12-24T19:10:19Z
dc.date.available2024-12-24T19:10:19Z
dc.date.issued2024
dc.departmentSiirt Üniversitesi
dc.description.abstractThe fractional derivative (FD) has recently captured the minds of scientists. The most common are Riemann-Liouville (RL) and Caputo (C). These fractional derivatives have been used to successfully model many real-world problems due to their physical properties. In 2014, Khalil et al introduced a new definition of an FD called the conformable FD (CFD). In this work, we introduce new properties and theorems related to this new derivative, such as the CFD of the reciprocal function, power of function, exponential of function, and the ?-Leibniz integral rule used to solve fractional differential equations as in the applications section. © 2024 NSP Natural Sciences Publishing Cor.
dc.identifier.doi10.18576/pfda/100301
dc.identifier.endpage344
dc.identifier.issn2356-9336
dc.identifier.issue3
dc.identifier.scopus2-s2.0-85199176244
dc.identifier.scopusqualityQ2
dc.identifier.startpage335
dc.identifier.urihttps://doi.org10.18576/pfda/100301
dc.identifier.urihttps://hdl.handle.net/20.500.12604/4028
dc.identifier.volume10
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.subjectexponential of function
dc.subjectFD
dc.subjectFractional integral
dc.subjectreciprocal function
dc.subject?-Leibniz integral rule
dc.titleNew Properties for Conformable Fractional Derivative and Applications
dc.typeArticle

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