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: | , , |
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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/10.1155/2021/3297562 |
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| _version_ | 1850165921083031552 |
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| author | Hashim M. Alshehri Hasib Khan Zareen A. Khan |
| author_facet | Hashim M. Alshehri Hasib Khan Zareen A. Khan |
| author_sort | Hashim M. Alshehri |
| collection | DOAJ |
| 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. |
| format | Article |
| id | doaj-art-dcfd2a8627f14221abc37387e408b094 |
| institution | OA Journals |
| issn | 2314-8896 2314-8888 |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-dcfd2a8627f14221abc37387e408b0942025-08-20T02:21:37ZengWileyJournal of Function Spaces2314-88962314-88882021-01-01202110.1155/2021/32975623297562Existence and Numerical Analysis of Imperfect Testing Infectious Disease Model in the Sense of Fractional-Order OperatorHashim M. Alshehri0Hasib Khan1Zareen A. Khan2Mathematics Department, Faculty of Science, King Abdulaziz University, Jeddah 21521, Saudi ArabiaDepartment of Mathematics, Shaheed Benazir Bhutto University, Sheringal, Dir Upper, 18000 Khyber Pakhtunkhwa, PakistanDepartment of Mathematical Sciences, College of Science, Princess Nourah bint Abdulrahman University, Riyadh, Saudi ArabiaIn 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 |
| 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 |
| title | 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_short | 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 |
| url | http://dx.doi.org/10.1155/2021/3297562 |
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