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Computational analysis of rabies and its solution by applying fractional operator

Ibtehal Alazman, Manvendra Narayan Mishra, Badr Saad T. Alkahtani, Pranay Goswami

2024Applied Mathematics in Science and Engineering11 citationsDOIOpen Access PDF

Abstract

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.

Topics & Concepts

Laplace transformFractional calculusKernel (algebra)LimitingApplied mathematicsOperator (biology)Order (exchange)MathematicsVariety (cybernetics)Integer (computer science)Computer scienceMathematical optimizationArtificial intelligenceDiscrete mathematicsMathematical analysisEngineeringBiologyProgramming languageEconomicsRepressorGeneMechanical engineeringBiochemistryFinanceTranscription factorFractional Differential Equations SolutionsAdvanced Control Systems DesignReligion and Sociopolitical Dynamics in Nigeria
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