Existence and Numerical Analysis of Imperfect Testing Infectious Disease Model in the Sense of Fractional-Order Operator

Existence and Numerical Analysis of Imperfect Testing Infectious Disease Model in the Sense of Fractional-Order Operator

In the present paper, we study a mathematical model of an imperfect testing infectious disease model in the sense of the Mittage-Leffler kernel. The Banach contraction principle has been used for the existence and uniqueness of solutions of the suggested model. Furthermore, a numerical method equipp...

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Main Authors: Hashim M. Alshehri, Hasib Khan, Zareen A. Khan
Format: Article
Language:English
Published: Hindawi Limited 2021-01-01
Series:Journal of Function Spaces
Online Access:http://dx.doi.org/10.1155/2021/3297562
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spelling doaj-dcfd2a8627f14221abc37387e408b0942021-08-09T00:00:58ZengHindawi LimitedJournal of Function Spaces2314-88882021-01-01202110.1155/2021/3297562Existence and Numerical Analysis of Imperfect Testing Infectious Disease Model in the Sense of Fractional-Order OperatorHashim M. Alshehri0Hasib Khan1Zareen A. Khan2Mathematics DepartmentDepartment of MathematicsDepartment of Mathematical SciencesIn the present paper, we study a mathematical model of an imperfect testing infectious disease model in the sense of the Mittage-Leffler kernel. The Banach contraction principle has been used for the existence and uniqueness of solutions of the suggested model. Furthermore, a numerical method equipped with Lagrangian polynomial interpolation has been utilized for the numerical outcomes. Diagramming and discussion are used to clarify the effects of related parameters in the fractional-order imperfect testing infectious disease model.http://dx.doi.org/10.1155/2021/3297562
collection DOAJ
language English
format Article
sources DOAJ
author Hashim M. Alshehri
Hasib Khan
Zareen A. Khan
spellingShingle Hashim M. Alshehri
Hasib Khan
Zareen A. Khan
Existence and Numerical Analysis of Imperfect Testing Infectious Disease Model in the Sense of Fractional-Order Operator
Journal of Function Spaces
author_facet Hashim M. Alshehri
Hasib Khan
Zareen A. Khan
author_sort Hashim M. Alshehri
title Existence and Numerical Analysis of Imperfect Testing Infectious Disease Model in the Sense of Fractional-Order Operator
title_short Existence and Numerical Analysis of Imperfect Testing Infectious Disease Model in the Sense of Fractional-Order Operator
title_full Existence and Numerical Analysis of Imperfect Testing Infectious Disease Model in the Sense of Fractional-Order Operator
title_fullStr Existence and Numerical Analysis of Imperfect Testing Infectious Disease Model in the Sense of Fractional-Order Operator
title_full_unstemmed Existence and Numerical Analysis of Imperfect Testing Infectious Disease Model in the Sense of Fractional-Order Operator
title_sort existence and numerical analysis of imperfect testing infectious disease model in the sense of fractional-order operator
publisher Hindawi Limited
series Journal of Function Spaces
issn 2314-8888
publishDate 2021-01-01
description In the present paper, we study a mathematical model of an imperfect testing infectious disease model in the sense of the Mittage-Leffler kernel. The Banach contraction principle has been used for the existence and uniqueness of solutions of the suggested model. Furthermore, a numerical method equipped with Lagrangian polynomial interpolation has been utilized for the numerical outcomes. Diagramming and discussion are used to clarify the effects of related parameters in the fractional-order imperfect testing infectious disease model.
url http://dx.doi.org/10.1155/2021/3297562
work_keys_str_mv AT hashimmalshehri existenceandnumericalanalysisofimperfecttestinginfectiousdiseasemodelinthesenseoffractionalorderoperator
AT hasibkhan existenceandnumericalanalysisofimperfecttestinginfectiousdiseasemodelinthesenseoffractionalorderoperator
AT zareenakhan existenceandnumericalanalysisofimperfecttestinginfectiousdiseasemodelinthesenseoffractionalorderoperator
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