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dc.contributor.authorMomenzadeh, Mohammaden_US
dc.contributor.authorNorozpour, Sajedehen_US
dc.contributor.authorBashirov, Agamirza E.en_US
dc.date.accessioned2023-04-04T07:26:02Z
dc.date.available2023-04-04T07:26:02Z
dc.date.issued2023-04
dc.identifier.citationMomenzadeh, M., Norozpour, S. & Bashirov, A. E. (2023). On fractional integral operator over non-Newtonian calculus. TWMS Journal Of Applied And Engineering Mathematics, 13(2), 440-447.en_US
dc.identifier.issn2146-1147en_US
dc.identifier.issn2587-1013en_US
dc.identifier.urihttp://belgelik.isikun.edu.tr/xmlui/handle/iubelgelik/5472
dc.identifier.urihttp://jaem.isikun.edu.tr/web/index.php/archive/119-vol13no2/979
dc.description.abstractThe definition of a non-Newtonian calculus is based on the homeomorphism which customary denoted by y = ?(x). In the mean of this function, elementary algebraic operations can be modified and we reach to the world of new calculus that is called a Non-Newtonian calculus. Nowadays, fractional operators role an important topic in mathematics because of their applications in many area of interest. In this paper we use an old technique of Cauchy iterated integrals to define bi?-fractional integral operator. The allocated method makes the new class of fractional integral operators which are successfully compatible with the non-Newtonian calculi and supported with several examples. Since the non-Newtonian calculi were introduced, the bigeometric calculus has been considered as a brilliant example of these kind of calculi. The definition of fractional integral operator in this calculus leads to Hadamard type fractional integral operator which answers many questions about the behavior of this operator. Classic property of fractional integral operator, semigroup property is stablished and this operator is studied. Moreover, Jensen’s inequality provide boundness theorem for general bi?-fractional integral operator.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 differential operatorsen_US
dc.subjectBigeometric calculusen_US
dc.subjectCauchy iterated integralsen_US
dc.subjectIntegral operatoren_US
dc.titleOn fractional integral operator over non-Newtonian calculusen_US
dc.typeArticleen_US
dc.description.versionPublisher's Versionen_US
dc.identifier.volume13
dc.identifier.issue2
dc.identifier.startpage440
dc.identifier.endpage447
dc.peerreviewedYesen_US
dc.publicationstatusPublisheden_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Başka Kurum Yazarıen_US
dc.indekslendigikaynakEmerging Sources Citation Index (ESCI)en_US
dc.indekslendigikaynakScopusen_US


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