Computational analysis of rabies and its solution by applying fractional operator

Numerous novel concepts in fractional mathematics have been created to provide numerical models for a variety of real-world, engineering, and scientific challenges because of the kernel's memory and non-local effects. In this post, we have looked at a deadly illness known as rabies. For our ana...

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Main Authors: Ibtehal Alazman, Manvendra Narayan Mishra, Badr Saad Alkahtani, Pranay Goswami
Format: Article
Language:English
Published: Taylor & Francis Group 2024-12-01
Series:Applied Mathematics in Science and Engineering
Subjects:
Online Access:https://www.tandfonline.com/doi/10.1080/27690911.2024.2340607
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author Ibtehal Alazman
Manvendra Narayan Mishra
Badr Saad Alkahtani
Pranay Goswami
author_facet Ibtehal Alazman
Manvendra Narayan Mishra
Badr Saad Alkahtani
Pranay Goswami
author_sort Ibtehal Alazman
collection DOAJ
description Numerous novel concepts in fractional mathematics have been created to provide numerical models for a variety of real-world, engineering, and scientific challenges because of the kernel's memory and non-local effects. In this post, we have looked at a deadly illness known as rabies. For our analysis, we employed the Atangana–Baleanu fractional derivative in Caputo sense. Additionally, the mathematical answer was obtained by applying the Laplace transform. Our approach is distinct, and we illustrated the vital role immunizations play in limiting the spread of the illness using graphical data. Furthermore, in this article, we have shown that fractional order systems are preferable to integer order systems.
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spelling doaj.art-1ddaaa9d7aa64f01abc2943bc20653272024-12-06T04:24:25ZengTaylor & Francis GroupApplied Mathematics in Science and Engineering2769-09112024-12-0132110.1080/27690911.2024.2340607Computational analysis of rabies and its solution by applying fractional operatorIbtehal Alazman0Manvendra Narayan Mishra1Badr Saad Alkahtani2Pranay Goswami3Department of Mathematics and Statistics, Imam Mohammad Ibn Saud Islamic University, Riyadh, Saudi ArabiaDepartment of Mathematics, Suresh Gyan Vihar University, Rajasthan, IndiaDepartment of Mathematics, College of Science, King Saud University, Riyadh, Saudi ArabiaSchool of Liberal Studies, Dr B.R. Ambedkar University Delhi, IndiaNumerous novel concepts in fractional mathematics have been created to provide numerical models for a variety of real-world, engineering, and scientific challenges because of the kernel's memory and non-local effects. In this post, we have looked at a deadly illness known as rabies. For our analysis, we employed the Atangana–Baleanu fractional derivative in Caputo sense. Additionally, the mathematical answer was obtained by applying the Laplace transform. Our approach is distinct, and we illustrated the vital role immunizations play in limiting the spread of the illness using graphical data. Furthermore, in this article, we have shown that fractional order systems are preferable to integer order systems.https://www.tandfonline.com/doi/10.1080/27690911.2024.2340607RabiesAtangana – Baleanu fractional operatormathematical modelLaplace transformexistence and uniquenessPrimary 92B05
spellingShingle Ibtehal Alazman
Manvendra Narayan Mishra
Badr Saad Alkahtani
Pranay Goswami
Computational analysis of rabies and its solution by applying fractional operator
Applied Mathematics in Science and Engineering
Rabies
Atangana – Baleanu fractional operator
mathematical model
Laplace transform
existence and uniqueness
Primary 92B05
title Computational analysis of rabies and its solution by applying fractional operator
title_full Computational analysis of rabies and its solution by applying fractional operator
title_fullStr Computational analysis of rabies and its solution by applying fractional operator
title_full_unstemmed Computational analysis of rabies and its solution by applying fractional operator
title_short Computational analysis of rabies and its solution by applying fractional operator
title_sort computational analysis of rabies and its solution by applying fractional operator
topic Rabies
Atangana – Baleanu fractional operator
mathematical model
Laplace transform
existence and uniqueness
Primary 92B05
url https://www.tandfonline.com/doi/10.1080/27690911.2024.2340607
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AT manvendranarayanmishra computationalanalysisofrabiesanditssolutionbyapplyingfractionaloperator
AT badrsaadalkahtani computationalanalysisofrabiesanditssolutionbyapplyingfractionaloperator
AT pranaygoswami computationalanalysisofrabiesanditssolutionbyapplyingfractionaloperator