CHARACTERIZATIONS OF TWO DIFFERENT FRACTIONAL OPERATORS WITHOUT SINGULAR KERNEL

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dc.contributor.authorYavuz, Mehmet
dc.date.accessioned2024-02-23T14:16:48Z
dc.date.available2024-02-23T14:16:48Z
dc.date.issued2019
dc.departmentNEÜen_US
dc.description.abstractIn this paper, we analyze the behaviours of two different fractional derivative operators defined in the last decade. One of them is defined with the normalized sinc function (NSF) and the other one is defined with the Mittag-Leffler function (MLF). Both of them have a non-singular kernel. The fractional derivative operator defined with the MLF is developed by Atangana and Baleanu (ABO) in 2016 and the other operator defined with the normalized sinc function (NSFDO) is created by Yang et al. in 2017. These mentioned operators have some advantages to model the real life problems and to solve them. On the other hand, since the Laplace transform (LT) of the ABO can be calculated more easily, it can be preferred to solve linear/nonlinear problems. In this study, we use the perturbation method with coupled the LTs of these operators to analyze their performance in solving some fractional differential equations. Furthermore, by constructing the error analysis, we test the practicability and usefulness of the method.en_US
dc.identifier.doi10.1051/mmnp/2018070
dc.identifier.issn0973-5348
dc.identifier.issn1760-6101
dc.identifier.issue3en_US
dc.identifier.scopus2-s2.0-85062022411en_US
dc.identifier.scopusqualityQ2en_US
dc.identifier.urihttps://doi.org/10.1051/mmnp/2018070
dc.identifier.urihttps://hdl.handle.net/20.500.12452/12815
dc.identifier.volume14en_US
dc.identifier.wosWOS:000474875500002en_US
dc.identifier.wosqualityQ2en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherEdp Sciences S Aen_US
dc.relation.ispartofMathematical Modelling Of Natural Phenomenaen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectAtangana-Baleanu Fractional Derivativeen_US
dc.subjectNormalized Sinc Functionen_US
dc.subjectLaplace Perturbation Methoden_US
dc.subjectLaplace Transformen_US
dc.subjectNonlinear Equationen_US
dc.titleCHARACTERIZATIONS OF TWO DIFFERENT FRACTIONAL OPERATORS WITHOUT SINGULAR KERNELen_US
dc.typeArticleen_US

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