Analytical approach to Fokker-Planck equation with space- and time-fractional derivatives by means of the homotopy perturbation method

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dc.contributor.authorYildirim A.
dc.date.accessioned2019-10-26T22:30:38Z
dc.date.available2019-10-26T22:30:38Z
dc.date.issued2010
dc.departmentEge Üniversitesien_US
dc.description.abstractIn this study, we present numerical solutions for the space- and time-fractional Fokker-Planck equation using the homotopy perturbation method (HPM). The fractional derivatives are described in the Caputo sense. The methods give an analytic solution in the form of a convergent series with easily computable components, requiring no linearization or small perturbation. Some examples are given and comparisons are made, the comparisons show that the homotopy perturbation method is very effective and convenient and overcome the difficulty of traditional methods. The numerical results show that the approaches are easy to implement and accurate when applied to space- and time-fractional Fokker-Planck equations. The methods introduce a promising tool for solving many space-time fractional partial differential equations. © 2010.en_US
dc.identifier.doi10.1016/j.jksus.2010.05.008
dc.identifier.endpage264en_US
dc.identifier.issn1018-3647
dc.identifier.issn1018-3647en_US
dc.identifier.issue4en_US
dc.identifier.scopusqualityQ1en_US
dc.identifier.startpage257en_US
dc.identifier.urihttps://doi.org/10.1016/j.jksus.2010.05.008
dc.identifier.urihttps://hdl.handle.net/11454/19702
dc.identifier.volume22en_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.relation.ispartofJournal of King Saud University - Scienceen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectCaputo derivativeen_US
dc.subjectFractional Fokker-Planck equationen_US
dc.subjectHomotopy perturbation methoden_US
dc.titleAnalytical approach to Fokker-Planck equation with space- and time-fractional derivatives by means of the homotopy perturbation methoden_US
dc.typeArticleen_US

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