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New exact solution of generalized biological population model

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dc.contributor.author Açan, Ömer
dc.contributor.author Al Qurashi, Maysaa Mohamed
dc.contributor.author Baleanu, Dumitru
dc.date.accessioned 2019-12-18T10:35:49Z
dc.date.available 2019-12-18T10:35:49Z
dc.date.issued 2017
dc.identifier.citation Acan, Omer; Al Qurashi, Maysaa Mohamed; Baleanu, Dumitru (2017). New exact solution of generalized biological population model, Journal Of Nonlinear Sciences And Applications, 10(7), 3916-3929. tr_TR
dc.identifier.issn 2008-1898
dc.identifier.uri http://hdl.handle.net/20.500.12416/2172
dc.description.abstract In this study, a mathematical model of the generalized biological population model (GBPM) gets a new exact solution with a conformable derivative operator (CDO). The new exact solution of this model will be obtained by a new approximate analytic technique named three dimensional conformable reduced differential transform method (TCRDTM). By using this technique, it is possible to find new exact solution as well as closed analytical approximate solution of a partial differential equations (PDEs). Three numerical applications of GBPM are given to check the accuracy, effectiveness, and convergence of the TCRDTM. In these applications, obtained new exact solutions in conformable sense are compared with the exact solutions in Caputo sense in literature. The comparisons are illustrated in 3D graphics. The results show that when alpha -> 1, the exact solutions in conformable and Caputo sense converge to each other. In other cases, exact solutions different from each other are obtained. (C) 2017 All rights reserved. tr_TR
dc.language.iso eng tr_TR
dc.publisher Int Scientific Research Publications tr_TR
dc.relation.isversionof 10.22436/jnsa.010.07.44 tr_TR
dc.rights info:eu-repo/semantics/openAccess tr_TR
dc.subject Numerical Solution tr_TR
dc.subject Biological Populations Model tr_TR
dc.subject Reduced Differential Transform Method tr_TR
dc.subject Conformable Derivative tr_TR
dc.subject Partial Differential Equations tr_TR
dc.title New exact solution of generalized biological population model tr_TR
dc.type article tr_TR
dc.relation.journal Journal Of Nonlinear Sciences And Applications tr_TR
dc.contributor.authorID 56389 tr_TR
dc.identifier.volume 10 tr_TR
dc.identifier.issue 7 tr_TR
dc.identifier.startpage 3916 tr_TR
dc.identifier.endpage 3929 tr_TR
dc.contributor.department Çankaya Üniversitesi, Fen - Edebiyat Fakültesi, Matematik - Bilgisayar Bölümü tr_TR


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