The Extended Trial Equation Method for Some Time Fractional Differential Equations

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dc.contributor.authorPandir, Yusuf
dc.contributor.authorGurefe, Yusuf
dc.contributor.authorMisirli, Emine
dc.date.accessioned2019-10-27T21:54:31Z
dc.date.available2019-10-27T21:54:31Z
dc.date.issued2013
dc.departmentEge Üniversitesien_US
dc.description.abstractNonlinear fractional partial differential equations have been solved with the help of the extended trial equation method. Based on the fractional derivative in the sense of modified Riemann-Liouville derivative and traveling wave transformation, the fractional partial differential equation can be turned into the nonlinear nonfractional ordinary differential equation. For illustrating the reliability of this approach, we apply it to the generalized third order fractional KdV equation and the fractional. Kappa (n, n) equation according to the complete discrimination system for polynomial method. As a result, some new exact solutions to these nonlinear problems are successfully constructed such as elliptic integral function solutions, Jacobi elliptic function solutions, and soliton solutions.en_US
dc.description.sponsorshipYozgat University FoundationBozok Universityen_US
dc.description.sponsorshipThe research has been supported by Yozgat University Foundation.en_US
dc.identifier.doi10.1155/2013/491359
dc.identifier.issn1026-0226
dc.identifier.issn1607-887X
dc.identifier.issn1026-0226en_US
dc.identifier.issn1607-887Xen_US
dc.identifier.scopusqualityQ3en_US
dc.identifier.urihttps://doi.org/10.1155/2013/491359
dc.identifier.urihttps://hdl.handle.net/11454/48094
dc.identifier.wosWOS:000320812300001en_US
dc.identifier.wosqualityQ2en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherHindawi Ltden_US
dc.relation.ispartofDiscrete Dynamics in Nature and Societyen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.titleThe Extended Trial Equation Method for Some Time Fractional Differential Equationsen_US
dc.typeArticleen_US

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