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On Nonlinear Conformable Fractional Order Dynamical System via Differential Transform Method

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dc.contributor.author Shah, Kamal
dc.contributor.author Abdeljawad, Thabet
dc.contributor.author Jarad, Fahd
dc.contributor.author Al-Mdallal, Qasem
dc.date.accessioned 2024-01-17T13:32:35Z
dc.date.available 2024-01-17T13:32:35Z
dc.date.issued 2023
dc.identifier.citation Shah, Kamal;...et.al. (2023). "On Nonlinear Conformable Fractional Order Dynamical System via Differential Transform Method", CMES - Computer Modeling in Engineering and Sciences, Vol.136, No.2, pp.1457-1472. tr_TR
dc.identifier.issn 15261492
dc.identifier.uri http://hdl.handle.net/20.500.12416/6912
dc.description.abstract This article studies a nonlinear fractional order Lotka-Volterra prey-predator type dynamical system. For the proposed study, we consider the model under the conformable fractional order derivative (CFOD). We investigate the mentioned dynamical system for the existence and uniqueness of at least one solution. Indeed, Schauder and Banach fixed point theorems are utilized to prove our claim. Further, an algorithm for the approximate analytical solution to the proposed problem has been established. In this regard, the conformable fractional differential transform (CFDT) technique is used to compute the required results in the form of a series. Using Matlab-16, we simulate the series solution to illustrate our results graphically. Finally, a comparison of our solution to that obtained for the Caputo fractional order derivative via the perturbation method is given. tr_TR
dc.language.iso eng tr_TR
dc.relation.isversionof 10.32604/cmes.2023.021523 tr_TR
dc.rights info:eu-repo/semantics/openAccess tr_TR
dc.subject Conformable Fractional Differential Transform tr_TR
dc.subject Existence Results tr_TR
dc.subject Prey Predator Model tr_TR
dc.title On Nonlinear Conformable Fractional Order Dynamical System via Differential Transform Method tr_TR
dc.type article tr_TR
dc.relation.journal CMES - Computer Modeling in Engineering and Sciences tr_TR
dc.contributor.authorID 234808 tr_TR
dc.identifier.volume 136 tr_TR
dc.identifier.issue 2 tr_TR
dc.identifier.startpage 1457 tr_TR
dc.identifier.endpage 1472 tr_TR
dc.contributor.department Çankaya Üniversitesi, Fen - Edebiyat Fakültesi, Matematik Bölümü tr_TR


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