A Fractional Order Hepatitis C Mathematical Model with Mittag-Leffler Kernel
In this paper, a mathematical fractional order Hepatitis C virus (HCV) spread model is presented for an analytical and numerical study. The model is a fractional order extension of the classical model. The paper includes the existence, singularity, Hyers-Ulam stability, and numerical solutions. Our...
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Format: | Article |
Language: | English |
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Wiley
2021-01-01
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Series: | Journal of Function Spaces |
Online Access: | http://dx.doi.org/10.1155/2021/2524027 |
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author | Hashim M. Alshehri Aziz Khan |
author_facet | Hashim M. Alshehri Aziz Khan |
author_sort | Hashim M. Alshehri |
collection | DOAJ |
description | In this paper, a mathematical fractional order Hepatitis C virus (HCV) spread model is presented for an analytical and numerical study. The model is a fractional order extension of the classical model. The paper includes the existence, singularity, Hyers-Ulam stability, and numerical solutions. Our numerical results are based on the Lagrange polynomial interpolation. We observe that the model of fractional order has the same behavior of the solutions as the integer order existing model. |
format | Article |
id | doaj-art-3055375669a344eca511a0f99c3e8363 |
institution | Kabale University |
issn | 2314-8888 |
language | English |
publishDate | 2021-01-01 |
publisher | Wiley |
record_format | Article |
series | Journal of Function Spaces |
spelling | doaj-art-3055375669a344eca511a0f99c3e83632025-02-03T05:49:27ZengWileyJournal of Function Spaces2314-88882021-01-01202110.1155/2021/25240272524027A Fractional Order Hepatitis C Mathematical Model with Mittag-Leffler KernelHashim M. Alshehri0Aziz Khan1Department of MathematicsDepartment of Mathematics and General SciencesIn this paper, a mathematical fractional order Hepatitis C virus (HCV) spread model is presented for an analytical and numerical study. The model is a fractional order extension of the classical model. The paper includes the existence, singularity, Hyers-Ulam stability, and numerical solutions. Our numerical results are based on the Lagrange polynomial interpolation. We observe that the model of fractional order has the same behavior of the solutions as the integer order existing model.http://dx.doi.org/10.1155/2021/2524027 |
spellingShingle | Hashim M. Alshehri Aziz Khan A Fractional Order Hepatitis C Mathematical Model with Mittag-Leffler Kernel Journal of Function Spaces |
title | A Fractional Order Hepatitis C Mathematical Model with Mittag-Leffler Kernel |
title_full | A Fractional Order Hepatitis C Mathematical Model with Mittag-Leffler Kernel |
title_fullStr | A Fractional Order Hepatitis C Mathematical Model with Mittag-Leffler Kernel |
title_full_unstemmed | A Fractional Order Hepatitis C Mathematical Model with Mittag-Leffler Kernel |
title_short | A Fractional Order Hepatitis C Mathematical Model with Mittag-Leffler Kernel |
title_sort | fractional order hepatitis c mathematical model with mittag leffler kernel |
url | http://dx.doi.org/10.1155/2021/2524027 |
work_keys_str_mv | AT hashimmalshehri afractionalorderhepatitiscmathematicalmodelwithmittaglefflerkernel AT azizkhan afractionalorderhepatitiscmathematicalmodelwithmittaglefflerkernel AT hashimmalshehri fractionalorderhepatitiscmathematicalmodelwithmittaglefflerkernel AT azizkhan fractionalorderhepatitiscmathematicalmodelwithmittaglefflerkernel |