A popular reaction-diffusion model fractional Fitzhugh-Nagumo equation: analytical and numerical treatment

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dc.contributor.authorTasbozan, Orkun
dc.date.accessioned2024-09-18T20:25:09Z
dc.date.available2024-09-18T20:25:09Z
dc.date.issued2021
dc.departmentHatay Mustafa Kemal Üniversitesien_US
dc.description.abstractThe main objective of this article is to obtain the new analytical and numerical solutions of fractional Fitzhugh-Nagumo equation which arises as a model of reaction-diffusion systems, transmission of nerve impulses, circuit theory, biology and the area of population genetics. For this aim conformable derivative with fractional order which is a well behaved, understandable and applicable definition is used as a tool. The analytical solutions were got by utilizing the fact that the conformable fractional derivative provided the chain rule. By the help of this feature which is not provided by other popular fractional derivatives, nonlinear fractional partial differential equation is turned into an integer order differential equation. The numerical solutions which is obtained with the aid of residual power series method are compared with the analytical results that obtained by performing sub equation method. This comparison is made both with the help of three-dimensional graphical representations and tables for different values of the gamma.en_US
dc.identifier.doi10.1007/s11766-021-3810-x
dc.identifier.endpage228en_US
dc.identifier.issn1005-1031
dc.identifier.issn1993-0445
dc.identifier.issue2en_US
dc.identifier.scopus2-s2.0-85107974304en_US
dc.identifier.scopusqualityQ3en_US
dc.identifier.startpage218en_US
dc.identifier.urihttps://doi.org/10.1007/s11766-021-3810-x
dc.identifier.urihttps://hdl.handle.net/20.500.12483/10105
dc.identifier.volume36en_US
dc.identifier.wosWOS:000662942000005en_US
dc.identifier.wosqualityQ4en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherZhejiang Univ, Editorial Committee Applied Mathematicsen_US
dc.relation.ispartofApplied Mathematics-A Journal of Chinese Universities Series Ben_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectFitzhugh-Nagumo equationen_US
dc.subjectreaction-diffusion modelen_US
dc.subjectconformable fractional derivativeen_US
dc.subjectsub equation methoden_US
dc.titleA popular reaction-diffusion model fractional Fitzhugh-Nagumo equation: analytical and numerical treatmenten_US
dc.typeArticleen_US

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