Conformable Derivative Operator in Modelling Neuronal Dynamics

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dc.contributor.authorYavuz, Mehmet
dc.contributor.authorYaskiran, Burcu
dc.date.accessioned2024-02-23T14:49:06Z
dc.date.available2024-02-23T14:49:06Z
dc.date.issued2018
dc.departmentNEÜen_US
dc.description.abstractThis study presents two new numerical techniques for solving time-fractional one-dimensional cable differential equation (FCE) modeling neuronal dynamics. We have introduced new formulations for the approximate-analytical solution of the FCE by using modified homotopy perturbation method defined with conformable operator (MHPMC) and reduced differential transform method defined with conformable operator (RDTMC), which are derived the solutions for linear-nonlinear fractional PDEs. In order to show the efficiencies of these methods, we have compared the numerical and exact solutions of fractional neuronal dynamics problem. Moreover, we have declared that the proposed models are very accurate and illustrative techniques in determining to approximate-analytical solutions for the PDEs of fractional order in conformable sense.en_US
dc.identifier.endpage817en_US
dc.identifier.issn1932-9466
dc.identifier.issue2en_US
dc.identifier.startpage803en_US
dc.identifier.urihttps://hdl.handle.net/20.500.12452/17994
dc.identifier.volume13en_US
dc.identifier.wosWOS:000457395700013en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.language.isoenen_US
dc.publisherPrairie View A & M Univ, Dept Mathematicsen_US
dc.relation.ispartofApplications And Applied Mathematics-An International Journalen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectConformable Derivative Operatoren_US
dc.subjectModified Homotopy Perturbation Methoden_US
dc.subjectReduced Differential Transform Methoden_US
dc.subjectApproximate-Analytical Solutionen_US
dc.subjectModeling Neuronal Dynamicsen_US
dc.titleConformable Derivative Operator in Modelling Neuronal Dynamicsen_US
dc.typeArticleen_US

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