Numerical solution of some fractional dynamical systems in medicine involving non-singular kernel with vector order
In this paper, we propose systems of variable-order fractional equations for some problems in medicine. These problems include the dynamics of Zika virus fever and HIV infection of CD4+ T-cells. Two types of nonlocal fractional derivatives are considered and compared in these dynamics: The Liouvill...
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| Format: | Article |
| Language: | English |
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Erdal KARAPINAR
2019-12-01
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| Series: | Results in Nonlinear Analysis |
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| Online Access: | https://dergipark.org.tr/en/download/article-file/871022 |
| _version_ | 1828031095380115456 |
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| author | Babak Shiri, Dumitru Baleanu |
| author_facet | Babak Shiri, Dumitru Baleanu |
| author_sort | Babak Shiri, Dumitru Baleanu |
| collection | DOAJ |
| description | In this paper, we propose systems of variable-order fractional equations for some problems in medicine. These
problems include the dynamics of Zika virus fever and HIV infection of CD4+ T-cells. Two types of nonlocal fractional derivatives are considered and compared in these dynamics: The Liouville-Caputo’s definition and a definition involving non-singular Mittag-Leffler kernel. Predictor corrector methods are described for simulating the corresponding dynamical systems. |
| first_indexed | 2024-04-10T14:40:07Z |
| format | Article |
| id | doaj.art-3309c071cdde45518e061275e01dcc84 |
| institution | Directory Open Access Journal |
| issn | 2636-7556 2636-7556 |
| language | English |
| last_indexed | 2024-04-10T14:40:07Z |
| publishDate | 2019-12-01 |
| publisher | Erdal KARAPINAR |
| record_format | Article |
| series | Results in Nonlinear Analysis |
| spelling | doaj.art-3309c071cdde45518e061275e01dcc842023-02-15T16:08:14ZengErdal KARAPINARResults in Nonlinear Analysis2636-75562636-75562019-12-0124160168Numerical solution of some fractional dynamical systems in medicine involving non-singular kernel with vector orderBabak Shiri, Dumitru BaleanuIn this paper, we propose systems of variable-order fractional equations for some problems in medicine. These problems include the dynamics of Zika virus fever and HIV infection of CD4+ T-cells. Two types of nonlocal fractional derivatives are considered and compared in these dynamics: The Liouville-Caputo’s definition and a definition involving non-singular Mittag-Leffler kernel. Predictor corrector methods are described for simulating the corresponding dynamical systems.https://dergipark.org.tr/en/download/article-file/871022dynamical systemszika virus feverhiv infection of cd4 + + t-cellspredictor-corrector methodssystem of variable order fractional equations |
| spellingShingle | Babak Shiri, Dumitru Baleanu Numerical solution of some fractional dynamical systems in medicine involving non-singular kernel with vector order Results in Nonlinear Analysis dynamical systems zika virus fever hiv infection of cd4 + + t-cells predictor-corrector methods system of variable order fractional equations |
| title | Numerical solution of some fractional dynamical systems in medicine involving non-singular kernel with vector order |
| title_full | Numerical solution of some fractional dynamical systems in medicine involving non-singular kernel with vector order |
| title_fullStr | Numerical solution of some fractional dynamical systems in medicine involving non-singular kernel with vector order |
| title_full_unstemmed | Numerical solution of some fractional dynamical systems in medicine involving non-singular kernel with vector order |
| title_short | Numerical solution of some fractional dynamical systems in medicine involving non-singular kernel with vector order |
| title_sort | numerical solution of some fractional dynamical systems in medicine involving non singular kernel with vector order |
| topic | dynamical systems zika virus fever hiv infection of cd4 + + t-cells predictor-corrector methods system of variable order fractional equations |
| url | https://dergipark.org.tr/en/download/article-file/871022 |
| work_keys_str_mv | AT babakshiridumitrubaleanu numericalsolutionofsomefractionaldynamicalsystemsinmedicineinvolvingnonsingularkernelwithvectororder |