Fractional order of pneumococcal pneumonia infection model with Caputo Fabrizio operator

Fractional order of pneumococcal pneumonia infection model with Caputo Fabrizio operator

In this study, we present the Pneumococcal Pneumonia infection model using fractional order derivatives in the Caputo-Fabrizio sense. We use fixed-point theory to prove the existence of the solution and investigate the uniqueness of the model variables. The fractional Adams-Bashforth method is used...

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Bibliographic Details
Main Authors: Olumuyiwa James Peter, Abdullahi Yusuf, Kayode Oshinubi, Festus Abiodun Oguntolu, John Oluwasegun Lawal, Adesoye Idowu Abioye, Tawakalt Abosede Ayoola
Format: Article
Language:English
Published: Elsevier 2021-10-01
Series:Results in Physics
Subjects:
Pneumonia model
Caputo-Fabrizio fractional derivative
Fixed point theorem
Numerical results
Online Access:http://www.sciencedirect.com/science/article/pii/S221137972100680X
Description
Summary:In this study, we present the Pneumococcal Pneumonia infection model using fractional order derivatives in the Caputo-Fabrizio sense. We use fixed-point theory to prove the existence of the solution and investigate the uniqueness of the model variables. The fractional Adams-Bashforth method is used to compute an iterative solution to the model. Finally, using the model parameter values to explain the importance of the arbitrary fractional order derivative, the numerical results are presented.
ISSN:2211-3797

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