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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Main Authors: Hashim M. Alshehri, Aziz Khan
Format: Article
Language:English
Published: Wiley 2021-01-01
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
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institution Kabale University
issn 2314-8888
language English
publishDate 2021-01-01
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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
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