A New Study on the Mathematical Modelling of Human Liver With Caputo-Fabrizio Fractional Derivative
| dc.contributor.author | Jajarmi, Amin | |
| dc.contributor.author | Mohammadi, Hakimeh | |
| dc.contributor.author | Rezapour, Shahram | |
| dc.contributor.author | Baleanu, Dumitru | |
| dc.date.accessioned | 2020-04-30T20:57:34Z | |
| dc.date.accessioned | 2025-09-18T13:26:10Z | |
| dc.date.available | 2020-04-30T20:57:34Z | |
| dc.date.available | 2025-09-18T13:26:10Z | |
| dc.date.issued | 2020 | |
| dc.description | Rezapour, Shahram/0000-0003-3463-2607; Mohammadi, Hakimeh/0000-0002-7492-9782; Jajarmi, Amin/0000-0003-2768-840X | en_US |
| 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-Lindelof 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. (C) 2020 Elsevier Ltd. All rights reserved. | en_US |
| dc.description.sponsorship | Azarbaidjan University of Shahid Madani; Miandoab Branch of Islamic Azad University | en_US |
| dc.description.sponsorship | Research of the first author was supported by Azarbaidjan University of Shahid Madani, and Research of the second author was supported by Miandoab Branch of Islamic Azad University. | en_US |
| 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. | en_US |
| dc.identifier.doi | 10.1016/j.chaos.2020.109705 | |
| dc.identifier.issn | 0960-0779 | |
| dc.identifier.issn | 1873-2887 | |
| dc.identifier.scopus | 2-s2.0-85079891020 | |
| dc.identifier.uri | https://doi.org/10.1016/j.chaos.2020.109705 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12416/12527 | |
| dc.language.iso | en | en_US |
| dc.publisher | Pergamon-elsevier Science Ltd | en_US |
| dc.relation.ispartof | Chaos, Solitons & Fractals | |
| dc.rights | info:eu-repo/semantics/closedAccess | en_US |
| dc.subject | Fractional Derivative | en_US |
| dc.subject | Exponential Kernel | en_US |
| dc.subject | Human Liver | en_US |
| dc.subject | Fixed-Point Theory | en_US |
| dc.subject | Iterative Method | en_US |
| dc.title | A New Study on the Mathematical Modelling of Human Liver With Caputo-Fabrizio Fractional Derivative | en_US |
| dc.title | A New Study On the Mathematical Modelling of Human Liver With Caputo–Fabrizio Fractional Derivative | tr_TR |
| dc.type | Article | en_US |
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| gdc.author.id | Rezapour, Shahram/0000-0003-3463-2607 | |
| gdc.author.id | Mohammadi, Hakimeh/0000-0002-7492-9782 | |
| gdc.author.id | Jajarmi, Amin/0000-0003-2768-840X | |
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| gdc.author.wosid | Mohammadi, Hakimeh/Aao-4225-2020 | |
| gdc.author.wosid | Baleanu, Dumitru/B-9936-2012 | |
| gdc.author.wosid | Jajarmi, Amin/O-7701-2019 | |
| gdc.author.wosid | Rezapour, Shahram/N-4883-2016 | |
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| gdc.description.department | Çankaya University | en_US |
| gdc.description.departmenttemp | [Baleanu, Dumitru] Cankaya Univ, Fac Arts & Sci, Dept Math, TR-06530 Ankara, Turkey; [Baleanu, Dumitru] Inst Space Sci, MG 23, R-76900 Magurele, Romania; [Jajarmi, Amin] Univ Bojnord, Dept Elect Engn, POB 94531-1339, Bojnord 945311339, Iran; [Mohammadi, Hakimeh] Islamic Azad Univ, Dept Math, Miandoab Branch, Miandoab, Iran; [Rezapour, Shahram] Azarbaijan Shahid Madani Univ, Dept Math, Tabriz, Iran; [Rezapour, Shahram] China Med Univ, China Med Univ Hosp, Dept Med Res, Taichung, Taiwan | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
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| gdc.description.startpage | 109705 | |
| gdc.description.volume | 134 | en_US |
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| gdc.oaire.keywords | exponential kernel | |
| gdc.oaire.keywords | fixed-point theory | |
| gdc.oaire.keywords | iterative method | |
| gdc.oaire.keywords | Medical applications (general) | |
| gdc.oaire.keywords | Fractional derivatives and integrals | |
| gdc.oaire.keywords | Physiology (general) | |
| gdc.oaire.keywords | fractional derivative | |
| gdc.oaire.keywords | Fractional ordinary differential equations | |
| gdc.oaire.keywords | human liver | |
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