New Numerical Techniques for Solving Fractional Partial Differential Equations in Conformable Sense

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dc.contributor.authorYavuz, Mehmet
dc.contributor.authorOzdemir, Necati
dc.date.accessioned2024-02-23T13:39:01Z
dc.date.available2024-02-23T13:39:01Z
dc.date.issued2019
dc.departmentNEÜen_US
dc.description9th International Conference on Non-Integer Order Calculus and Its Applications -- OCT 11-13, 2017 -- Lodz, POLANDen_US
dc.description.abstractThis study adresses two new numerical techniques for solving some interesting one-dimensional time-fractional partial differential equations (PDEs). We have introduced modified homotopy perturbation method in conformable sense (MHPMC) and Adomian decomposition method in conformable sense (ADMC) which improve 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 three illustrative problems. Also, we have declared that the proposed models are very efficient and powerful techniques in finding approximate-analytical solutions for the PDEs of fractional order in conformable sense.en_US
dc.description.sponsorshipLodz Univ Technol, Inst Appl Comp Sci,ACM,Polish Informat Proc Socen_US
dc.identifier.doi10.1007/978-3-319-78458-8_5
dc.identifier.endpage62en_US
dc.identifier.isbn978-3-319-78458-8
dc.identifier.isbn978-3-319-78457-1
dc.identifier.issn1876-1100
dc.identifier.issn1876-1119
dc.identifier.scopus2-s2.0-85044833958en_US
dc.identifier.scopusqualityQ4en_US
dc.identifier.startpage49en_US
dc.identifier.urihttps://doi.org/10.1007/978-3-319-78458-8_5
dc.identifier.urihttps://hdl.handle.net/20.500.12452/10684
dc.identifier.volume496en_US
dc.identifier.wosWOS:000448763900005en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherSpringeren_US
dc.relation.ispartofNon-Integer Order Calculus And Its Applicationsen_US
dc.relation.publicationcategoryKonferans Öğesi - Uluslararası - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectNumerical Solutionen_US
dc.subjectConformable Derivativeen_US
dc.subjectFractional Diffusion Equationen_US
dc.subjectAdomian Decomposition Methoden_US
dc.subjectModified Homotopy Perturbation Methoden_US
dc.titleNew Numerical Techniques for Solving Fractional Partial Differential Equations in Conformable Senseen_US
dc.typeConference Objecten_US

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