The analytical solution of Van der Pol and Lienard differential equations within conformable fractional operator by retarded integral inequalities

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dc.contributor.authorUsta, Fuat
dc.contributor.authorSarıkaya, Mehmet Zeki
dc.date.accessioned2020-04-30T23:32:38Z
dc.date.available2020-04-30T23:32:38Z
dc.date.issued2019
dc.departmentDÜ, Fen-Edebiyat Fakültesi, Matematik Bölümüen_US
dc.descriptionWOS: 000470036300001en_US
dc.description.abstractIn this study we introduced and tested retarded conformable fractional integral inequalities utilizing non-integer order derivatives and integrals. In line with this purpose, we used the Katugampola type conformable fractional calculus which has several practical properties. These inequalities generalize some famous integral inequalities which provide explicit bounds on unknown functions. The results provided here had been implemented to the global existence of solutions to the conformable fractional differential equations with time delay.en_US
dc.identifier.doi10.1515/dema-2019-0017en_US
dc.identifier.endpage212en_US
dc.identifier.issn0420-1213
dc.identifier.issn2391-4661
dc.identifier.issue1en_US
dc.identifier.startpage204en_US
dc.identifier.urihttps://doi.org/10.1515/dema-2019-0017
dc.identifier.urihttps://hdl.handle.net/20.500.12684/4775
dc.identifier.volume52en_US
dc.identifier.wosqualityN/Aen_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.language.isoenen_US
dc.publisherSciendoen_US
dc.relation.ispartofDemonstratio Mathematicaen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectglobal existenceen_US
dc.subjectretarded integral inequalitiesen_US
dc.subjectconformable fractional Van der Pol differential equationen_US
dc.subjectconformable fractional Lienard differential equationen_US
dc.titleThe analytical solution of Van der Pol and Lienard differential equations within conformable fractional operator by retarded integral inequalitiesen_US
dc.typeArticleen_US

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