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A New Study On the Mathematical Modelling of Human Liver With Caputo–Fabrizio Fractional Derivative

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dc.contributor.author Baleanu, Dumitru
dc.contributor.author Jajarmi, Amin
dc.contributor.author Mohammadi, H.
dc.contributor.author Rezapour, S.
dc.date.accessioned 2020-04-30T20:57:34Z
dc.date.available 2020-04-30T20:57:34Z
dc.date.issued 2020-05
dc.identifier.citation Baleanu, D...et al. (2020). "A New Study On the Mathematical Modelling of Human Liver With Caputo–Fabrizio Fractional Derivative", Chaos, Solitons and Fractals, Vol. 134. tr_TR
dc.identifier.issn 09600779
dc.identifier.uri http://hdl.handle.net/20.500.12416/3570
dc.description.abstract In this research, we aim to propose a new fractional model for human liver involving Caputo–Fabrizio derivative with the exponential kernel. Concerning the new model, the existence of a unique solution is explored by using the Picard–Lindelöf approach and the fixed-point theory. In addition, the mathematical model is implemented by the homotopy analysis transform method whose convergence is also investigated. Eventually, numerical experiments are carried out to better illustrate the results. Comparative results with the real clinical data indicate the superiority of the new fractional model over the pre-existent integer-order model with ordinary time-derivatives. tr_TR
dc.language.iso eng tr_TR
dc.publisher Elsevier LTD. tr_TR
dc.relation.isversionof 10.1016/j.chaos.2020.109705 tr_TR
dc.rights info:eu-repo/semantics/closedAccess tr_TR
dc.subject Exponential Kernel tr_TR
dc.subject Fixed-Point Theory tr_TR
dc.subject Fractional Derivative tr_TR
dc.subject Iterative Method tr_TR
dc.subject Human Liver tr_TR
dc.title A New Study On the Mathematical Modelling of Human Liver With Caputo–Fabrizio Fractional Derivative tr_TR
dc.type article tr_TR
dc.relation.journal Chaos, Solitons and Fractals tr_TR
dc.contributor.authorID 56389 tr_TR
dc.identifier.volume 134 tr_TR
dc.contributor.department Çankaya Üniversitesi, Fen Edebiyat Fakültesi, Matematik Bölümü tr_TR


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