On a Hybrid Technique to Handle Analytical and Approximate Solutions of Linear and Nonlinear Fractional Order Partial Differential Equations

Basit Öğe Kaydı
dc.contributor.authorShah, Kamal
dc.contributor.authorKhalil, Hammad
dc.contributor.authorYildirim, Ahmet
dc.date.accessioned2020-12-01T12:06:04Z
dc.date.available2020-12-01T12:06:04Z
dc.date.issued2019
dc.departmentEge Üniversitesien_US
dc.description.abstractThis manuscript is devoted to consider Natural transform (NT) coupled with homotopy perturbation method (HPM) for obtaining series solutions to some linear and nonlinear fractional partial differential equations (FPDEs). By means of NT, we obtain the transformed problem which is then solved by using HPM. By means of Stehfest's numerical algorithm and using the dual relationship of NT and Laplace transform, we calculate inverse NT for approximate solutions. the series solutions we obtain using the proposed method are in close agreement with the exact solutions. We apply the proposed method to some interesting problems to illustrate our main results.en_US
dc.identifier.endpage925en_US
dc.identifier.issn1932-9466
dc.identifier.issn1932-9466en_US
dc.identifier.issue2en_US
dc.identifier.startpage910en_US
dc.identifier.urihttps://hdl.handle.net/11454/63147
dc.identifier.volume14en_US
dc.identifier.wosWOS:000502819600018en_US
dc.identifier.wosqualityN/Aen_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.subjectFPDEsen_US
dc.subjectNatural Transformen_US
dc.subjectHomotopy Perturbation methoden_US
dc.titleOn a Hybrid Technique to Handle Analytical and Approximate Solutions of Linear and Nonlinear Fractional Order Partial Differential Equationsen_US
dc.typeArticleen_US

Dosyalar

Koleksiyon

WoS İndeksli Yayınlar Koleksiyonu