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On Nonlinear Conformable Fractional Order Dynamical System via Differential Transform Method

dc.contributor.authorShah, Kamal
dc.contributor.authorAbdeljawad, Thabet
dc.contributor.authorJarad, Fahd
dc.contributor.authorAl-Mdallal, Qasem
dc.contributor.authorID234808tr_TR
dc.date.accessioned2024-01-17T13:32:35Z
dc.date.available2024-01-17T13:32:35Z
dc.date.issued2023
dc.departmentÇankaya Üniversitesi, Fen - Edebiyat Fakültesi, Matematik Bölümüen_US
dc.description.abstractThis 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.en_US
dc.identifier.citationShah, 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.en_US
dc.identifier.doi10.32604/cmes.2023.021523
dc.identifier.endpage1472en_US
dc.identifier.issn15261492
dc.identifier.issue2en_US
dc.identifier.startpage1457en_US
dc.identifier.urihttp://hdl.handle.net/20.500.12416/6912
dc.identifier.volume136en_US
dc.language.isoenen_US
dc.relation.ispartofCMES - Computer Modeling in Engineering and Sciencesen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectConformable Fractional Differential Transformen_US
dc.subjectExistence Resultsen_US
dc.subjectPrey Predator Modelen_US
dc.titleOn Nonlinear Conformable Fractional Order Dynamical System via Differential Transform Methodtr_TR
dc.titleOn Nonlinear Conformable Fractional Order Dynamical System Via Differential Transform Methoden_US
dc.typeArticleen_US
dspace.entity.typePublication

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