Modelling the Formation of Liver Zones within the Scope of Fractional Order Derivative

We develop and extend earlier results related to mathematical modelling of the liver formation zone by the adoption of noninteger order derivative. The hidden uncertainties in the model are captured and controlled thanks to the Caputo derivative. The stationary states are investigated and the time-d...

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Detalles Bibliográficos
Autores principales: Atangana, Abdon, Oukouomi Noutchie, Suares Clovis
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Hindawi Publishing Corporation 2014
Materias:
Research Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4172980/
https://www.ncbi.nlm.nih.gov/pubmed/25276791
http://dx.doi.org/10.1155/2014/478028
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author Atangana, Abdon
Oukouomi Noutchie, Suares Clovis
author_facet Atangana, Abdon
Oukouomi Noutchie, Suares Clovis
author_sort Atangana, Abdon
collection PubMed
description We develop and extend earlier results related to mathematical modelling of the liver formation zone by the adoption of noninteger order derivative. The hidden uncertainties in the model are captured and controlled thanks to the Caputo derivative. The stationary states are investigated and the time-dependent solution is approximated using two recent iteration methods. In particular, we discuss the convergence of these methods by constructing a suitable Hilbert space.
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spelling pubmed-41729802014-09-30 Modelling the Formation of Liver Zones within the Scope of Fractional Order Derivative Atangana, Abdon Oukouomi Noutchie, Suares Clovis Biomed Res Int Research Article We develop and extend earlier results related to mathematical modelling of the liver formation zone by the adoption of noninteger order derivative. The hidden uncertainties in the model are captured and controlled thanks to the Caputo derivative. The stationary states are investigated and the time-dependent solution is approximated using two recent iteration methods. In particular, we discuss the convergence of these methods by constructing a suitable Hilbert space. Hindawi Publishing Corporation 2014 2014-09-08 /pmc/articles/PMC4172980/ /pubmed/25276791 http://dx.doi.org/10.1155/2014/478028 Text en Copyright © 2014 A. Atangana and S. C. Oukouomi Noutchie. https://creativecommons.org/licenses/by/3.0/ This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
spellingShingle Research Article
Atangana, Abdon
Oukouomi Noutchie, Suares Clovis
Modelling the Formation of Liver Zones within the Scope of Fractional Order Derivative
title Modelling the Formation of Liver Zones within the Scope of Fractional Order Derivative
title_full Modelling the Formation of Liver Zones within the Scope of Fractional Order Derivative
title_fullStr Modelling the Formation of Liver Zones within the Scope of Fractional Order Derivative
title_full_unstemmed Modelling the Formation of Liver Zones within the Scope of Fractional Order Derivative
title_short Modelling the Formation of Liver Zones within the Scope of Fractional Order Derivative
title_sort modelling the formation of liver zones within the scope of fractional order derivative
topic Research Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4172980/
https://www.ncbi.nlm.nih.gov/pubmed/25276791
http://dx.doi.org/10.1155/2014/478028
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AT oukouominoutchiesuaresclovis modellingtheformationofliverzoneswithinthescopeoffractionalorderderivative

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