New exact solution of generalized biological population model

Basit Öğe Kaydı
dc.contributor.authorAcan, Omer
dc.contributor.authorAl Qurashi, Maysaa Mohamed
dc.contributor.authorBaleanu, Dumitru
dc.date.accessioned2024-12-24T19:30:38Z
dc.date.available2024-12-24T19:30:38Z
dc.date.issued2017
dc.departmentSiirt Üniversitesi
dc.description.abstractIn 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.
dc.description.sponsorshipInternational Scientific Partnership Program ISPP at King Saud University through ISPP [63]
dc.description.sponsorshipThe authors extend their appreciation to the International Scientific Partnership Program ISPP at King Saud University for funding this research work through ISPP# 63.
dc.identifier.doi10.22436/jnsa.010.07.44
dc.identifier.endpage3929
dc.identifier.issn2008-1898
dc.identifier.issn2008-1901
dc.identifier.issue7
dc.identifier.startpage3916
dc.identifier.urihttps://doi.org/10.22436/jnsa.010.07.44
dc.identifier.urihttps://hdl.handle.net/20.500.12604/7620
dc.identifier.volume10
dc.identifier.wosWOS:000409101400044
dc.identifier.wosqualityN/A
dc.indekslendigikaynakWeb of Science
dc.language.isoen
dc.publisherInt Scientific Research Publications
dc.relation.ispartofJournal of Nonlinear Sciences and Applications
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/openAccess
dc.snmzKA_20241222
dc.subjectNumerical solution
dc.subjectbiological populations model
dc.subjectreduced differential transform method
dc.subjectconformable derivative
dc.subjectpartial differential equations
dc.titleNew exact solution of generalized biological population model
dc.typeArticle

Dosyalar

Koleksiyon

WOS İndeksli Yayınlar Koleksiyonu