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The Analytical Analysis of Time-Fractional Fornberg-Whitham Equations

dc.contributor.authorAlderremy, A. A.
dc.contributor.authorKhan, Hassan
dc.contributor.authorShah, Rasool
dc.contributor.authorAly, Shaban
dc.contributor.authorBaleanu, Dumitru
dc.contributor.authorID56389tr_TR
dc.date.accessioned2021-01-07T11:41:49Z
dc.date.available2021-01-07T11:41:49Z
dc.date.issued2020
dc.departmentÇankaya Üniversitesi, Fen Edebiyat Fakültesi, Matematik Bölümüen_US
dc.description.abstractThis article is dealing with the analytical solution of Fornberg-Whitham equations in fractional view of Caputo operator. The effective method among the analytical techniques, natural transform decomposition method, is implemented to handle the solutions of the proposed problems. The approximate analytical solutions of nonlinear numerical problems are determined to confirm the validity of the suggested technique. The solution of the fractional-order problems are investigated for the suggested mathematical models. The solutions-graphs are then plotted to understand the effectiveness of fractional-order mathematical modeling over integer-order modeling. It is observed that the derived solutions have a closed resemblance with the actual solutions. Moreover, using fractional-order modeling various dynamics can be analyzed which can provide sophisticated information about physical phenomena. The simple and straight-forward procedure of the suggested technique is the preferable point and thus can be used to solve other nonlinear fractional problems.en_US
dc.description.publishedMonth6
dc.identifier.citationAlderremy, A. A...et al. (2020). "The Analytical Analysis of Time-Fractional Fornberg-Whitham Equations", Mathematics, Vol. 8, No. 6.en_US
dc.identifier.doi10.3390/math8060987
dc.identifier.issn2227-7390
dc.identifier.issue6en_US
dc.identifier.urihttp://hdl.handle.net/20.500.12416/4446
dc.identifier.volume8en_US
dc.language.isoenen_US
dc.relation.ispartofMathematicsen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectAdomian Decomposition Methoden_US
dc.subjectCaputo Operatoren_US
dc.subjectNatural Transformen_US
dc.subjectFornberg-Whitham Equationsen_US
dc.titleThe Analytical Analysis of Time-Fractional Fornberg-Whitham Equationstr_TR
dc.titleThe Analytical Analysis of Time-Fractional Fornberg-Whitham Equationsen_US
dc.typeArticleen_US
dspace.entity.typePublication

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