The analytical solutions for conformable integral equations and integro-differential equations by conformable Laplace transform

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dc.contributor.authorOzkan, Ozan
dc.contributor.authorKurt, Ali
dc.date.accessioned2020-03-26T19:55:55Z
dc.date.available2020-03-26T19:55:55Z
dc.date.issued2018
dc.departmentSelçuk Üniversitesien_US
dc.description.abstractIn this article, existence theorem for conformable Laplace transform is expressed. Then by using basic properties of conformable Laplace transform such as convolution theorem, conformable Laplace transform of fractional derivative and fractional integral, authors obtained the exact solution of initial value problems for integral equations and integro-differential equations where the derivatives and integrals are in conformable sense. In the literature it is the first time that obtaining the solutions of integro differential equations, integral equations by means of conformable fractional derivative.en_US
dc.identifier.doi10.1007/s11082-018-1342-2en_US
dc.identifier.issn0306-8919en_US
dc.identifier.issn1572-817Xen_US
dc.identifier.issue2en_US
dc.identifier.scopusqualityQ2en_US
dc.identifier.urihttps://dx.doi.org/10.1007/s11082-018-1342-2
dc.identifier.urihttps://hdl.handle.net/20.500.12395/36984
dc.identifier.volume50en_US
dc.identifier.wosWOS:000426388200030en_US
dc.identifier.wosqualityQ3en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherSPRINGERen_US
dc.relation.ispartofOPTICAL AND QUANTUM ELECTRONICSen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.selcuk20240510_oaigen_US
dc.subjectConformable fractional derivativeen_US
dc.subjectConformable Laplace transformen_US
dc.subjectIntegral equationen_US
dc.subjectConformable integro-differential equationen_US
dc.titleThe analytical solutions for conformable integral equations and integro-differential equations by conformable Laplace transformen_US
dc.typeArticleen_US

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