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dc.contributor.authorDixit, Ajayen_US
dc.contributor.authorUjlayan, Amiten_US
dc.date.accessioned2021-04-06T10:03:38Z
dc.date.available2021-04-06T10:03:38Z
dc.date.issued2021
dc.identifier.citationDixit, A. & Ujlayan, A. (2021). The theory of UD derivative and its applications. TWMS Journal of Applied and Engineering Mathematics, 11(2), 350-358.en_US
dc.identifier.issn2587-1013en_US
dc.identifier.uri2146-1147
dc.identifier.urihttp://belgelik.isikun.edu.tr/xmlui/handle/iubelgelik/3112
dc.identifier.urihttp://jaem.isikun.edu.tr/web/index.php/archive/111-vol11-no2/693
dc.description.abstractThe sole purpose of this study is to propose a new concept to fractional derivative as Ujlayan-Dixit derivative in the classical sense using limit approach. The parameter ? of the derivative is confined within a closed unit interval. It is easy to apply and generates a convex combination of function and its derivative. We observe its geometrical behavior and see, how it is different from the previous definitions of the concerned derivatives. It works as an improved form of Conformable fractional derivative and fulfill the meaningful gaps. Some basic properties of calculus like continuity, differentiability, Mean Value theorem, Comparison theorem and some numerical have discussed.en_US
dc.language.isoenen_US
dc.publisherIşık University Pressen_US
dc.relation.ispartofTWMS Journal of Applied and Engineering Mathematicsen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.rightsAttribution-NonCommercial-NoDerivs 3.0 United States*
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/3.0/us/*
dc.subjectFractional derivativeen_US
dc.subjectConformable derivativeen_US
dc.subjectFractional differential equationsen_US
dc.subjectUD derivativeen_US
dc.subjectFractional integralen_US
dc.titleThe theory of UD derivative and its applicationsen_US
dc.typeArticleen_US
dc.description.versionPublisher's Versionen_US
dc.identifier.volume11
dc.identifier.issue2
dc.identifier.startpage350
dc.identifier.endpage358
dc.peerreviewedYesen_US
dc.publicationstatusPublisheden_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Başka Kurum Yazarıen_US


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