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dc.contributor.authorAvcı, Derya
dc.contributor.authorYetim, Aylin
dc.date.accessioned2020-01-28T11:59:34Z
dc.date.available2020-01-28T11:59:34Z
dc.date.issued2019en_US
dc.identifier.issn0960-0779
dc.identifier.issn1873-2887
dc.identifier.urihttps://hdl.handle.net/20.500.12462/10648
dc.descriptionAvcı, Derya (Balikesir Author)en_US
dc.description.abstractIn this paper, a linear advection-diffusion equation involving Atangana-Baleanu derivative described with the Mittag-Leffler kernel is considered on the real line. Different kinds of diffusive transports in the nature obey the exponential/generalized exponential and Mittag-Leffler functions rather than the power law. By this reality, the current study is devoted to investigate the fundamental solutions of the Cauchy and source problems. For this purpose, Laplace and exponential Fourier transforms are applied. The results are achieved in terms of one and two-parameter Mittag-Leffler functions. The results show that the Atangana-Baleanu derivative is an effective alternative to Caputo derivative to model the diffusion with advection processes because the continuous structure of Mittag-Leffler kernel removes the computational complexities. Thus, it is rather practical to achieve analytical solutions.en_US
dc.language.isoengen_US
dc.publisherPergamon-Elsevier Science LTDen_US
dc.relation.isversionof10.1016/j.chaos.2018.11.035en_US
dc.rightsinfo:eu-repo/semantics/embargoedAccessen_US
dc.subjectAtangana-Baleanu Derivativeen_US
dc.subjectAdvection-Diffusionen_US
dc.subjectFundamental Solutionsen_US
dc.subjectCauchy Problemen_US
dc.subjectMittag-Leffler Kernelen_US
dc.titleCauchy and source problems for an advection-diffusion equation with Atangana-Baleanu derivative on the real lineen_US
dc.typearticleen_US
dc.relation.journalChaos Solitons & Fractalsen_US
dc.contributor.departmentFen Edebiyat Fakültesien_US
dc.identifier.volume118en_US
dc.identifier.startpage361en_US
dc.identifier.endpage365en_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US


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