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A New Analysis of Fractional Fish Farm Model Associated With Mittag-Leffler-Type Kernel

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dc.contributor.author Singh, Jagdev
dc.contributor.author Kumar, Devendra
dc.contributor.author Baleanu, Dumitru
dc.date.accessioned 2020-04-30T13:22:44Z
dc.date.available 2020-04-30T13:22:44Z
dc.date.issued 2020-02-01
dc.identifier.citation Singh, J., Kumar, D., Baleanu, Dumitru, "A New Analysis of Fractional Fish Farm Model Associated With Mittag-Leffler-Type Kernel", International Journal of Biomathematics, Vol. 13, No. 2, (2020). tr_TR
dc.identifier.issn 17935245
dc.identifier.uri http://hdl.handle.net/20.500.12416/3558
dc.description.abstract In this paper, we analyze the dynamical behavior of fish farm model related to Atangana-Baleanu derivative of arbitrary order. The model is constituted with the group of nonlinear differential equations having nutrients, fish and mussel. We have included discrete kind gestational delay of fish. The solution of fish farm model is determined by employing homotopy analysis transforms method (HATM). Existence of and uniqueness of solution are studied through Picard-Lindelof approach. The influence of order of new non-integer order derivative on nutrients, fish and mussel is discussed. The complete study reveals that the outer food supplies manage the behavior of the model. Moreover, to show the outcomes of the study, some numerical results are demonstrated through graphs. © 2020 World Scientific Publishing Company. tr_TR
dc.language.iso eng tr_TR
dc.publisher World Scientific Publ CO PTE LTD tr_TR
dc.relation.isversionof 10.1142/S1793524520500102 tr_TR
dc.rights info:eu-repo/semantics/closedAccess tr_TR
dc.subject Atangana-Baleanu Fractional Derivative tr_TR
dc.subject Fish Farm Dynamical Model tr_TR
dc.subject Fixed Point Theorem tr_TR
dc.subject Picard-Lindelof Approach tr_TR
dc.subject Stability Analysis tr_TR
dc.title A New Analysis of Fractional Fish Farm Model Associated With Mittag-Leffler-Type Kernel tr_TR
dc.type article tr_TR
dc.relation.journal International Journal of Biomathematics tr_TR
dc.contributor.authorID 56389 tr_TR
dc.identifier.volume 13 tr_TR
dc.identifier.issue 2 tr_TR
dc.contributor.department Çankaya Üniversitesi, Fen Edebiyat Fakültesi, Matematik Bölümü tr_TR


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