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On Fractional Operators and Their Classifications

dc.contributor.authorBaleanu, Dumitru
dc.contributor.authorFernandez, Arran
dc.contributor.authorID56389tr_TR
dc.date.accessioned2019-12-25T13:12:59Z
dc.date.available2019-12-25T13:12:59Z
dc.date.issued2019
dc.departmentÇankaya Üniversitesi, Fen - Edebiyat Fakültesi, Matematik - Bilgisayar Bölümüen_US
dc.description.abstractFractional calculus dates its inception to a correspondence between Leibniz and L'Hopital in 1695, when Leibniz described "paradoxes" and predicted that "one day useful consequences will be drawn" from them. In today's world, the study of non-integer orders of differentiation has become a thriving field of research, not only in mathematics but also in other parts of science such as physics, biology, and engineering: many of the "useful consequences" predicted by Leibniz have been discovered. However, the field has grown so far that researchers cannot yet agree on what a "fractional derivative" can be. In this manuscript, we suggest and justify the idea of classification of fractional calculus into distinct classes of operators.en_US
dc.description.publishedMonth9
dc.identifier.citationBaleanu, Dumitru; Fernandez, Arran, "On Fractional Operators and Their Classifications", Mathematics, Vol. 7, No. 9, (September 2019).en_US
dc.identifier.doi10.3390/math7090830
dc.identifier.issue9en_US
dc.identifier.urihttp://hdl.handle.net/20.500.12416/2289
dc.identifier.volume7en_US
dc.language.isoenen_US
dc.publisherMDPIen_US
dc.relation.ispartofMathematicsen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectFractional Calculusen_US
dc.subjectIntegral Transformsen_US
dc.subjectConvergent Seriesen_US
dc.titleOn Fractional Operators and Their Classificationstr_TR
dc.titleOn Fractional Operators and Their Classificationsen_US
dc.typeArticleen_US
dspace.entity.typePublication

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