Novel solution methods for initial boundary value problems of fractional order with conformable differentiation

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dc.authorid0000-0002-3966-6518
dc.contributor.authorYavuz, Mehmet
dc.date.accessioned2020-01-18T21:11:29Z
dc.date.available2020-01-18T21:11:29Z
dc.date.issued2018
dc.departmentNEÜ, Fen Fakültesi, Matematik ve Bilgisayar Bilimleri Bölümüen_US
dc.description.abstractIn this work, we develop a formulation for the approximate-analytical solution offractional partial differential equations (PDEs) by using conformable fractionalderivative. Firstly, we redefine the conformable fractional Adomiandecomposition method (CFADM) and conformable fractional modifiedhomotopy perturbation method (CFMHPM). Then, we solve some initialboundary value problems (IBVP) by using the proposed methods, which cananalytically solve the fractional partial differential equations (FPDE). In order toshow the efficiencies of these methods, we have compared the numerical andexact solutions of the IBVP. Also, we have found out that the proposed modelsare very efficient and powerful techniques in finding approximate solutions forthe IBVP of fractional order in the conformable sense.en_US
dc.identifier.citationYavuz, M. (2018). Novel solution methods for initial boundary value problems of fractional order with conformable differentiation. 8, 1, 1-7.
dc.identifier.doi10.11121/i jocta.01.2018.00540en_US
dc.identifier.endpage7en_US
dc.identifier.issn2146-0957en_US
dc.identifier.issn2146-5703en_US
dc.identifier.issue1en_US
dc.identifier.scopusqualityQ3en_US
dc.identifier.startpage1en_US
dc.identifier.urihttps://dx.doi.org/10.11121/i jocta.01.2018.00540
dc.identifier.urihttps://app.trdizin.gov.tr/makale/TXpBMk5qSTRPQT09/novel-solution-methods-for-initial-boundary-value-problems-of-fractional-order-with-conformable-differentiation
dc.identifier.urihttps://hdl.handle.net/20.500.12452/2495
dc.identifier.volume8en_US
dc.indekslendigikaynakTR-Dizinen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.relation.ispartofAn International Journal of Optimization and Control: Theories & Applications (IJOCTA)en_US
dc.relation.publicationcategoryMakale - Ulusal Hakemli Dergi - Kurum Öğretim Elemanıen_US]
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectConformable fractional derivativeen_US
dc.subjectApproximate-analytical solutionen_US
dc.subjectAdomian decomposition methoden_US
dc.subjectModified homotopy perturbation methoden_US
dc.titleNovel solution methods for initial boundary value problems of fractional order with conformable differentiationen_US
dc.typeArticleen_US

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