Matrix Science Mathematic (MSMK)

ON LOGISTIC GROWTH MODELS BY USING THE FRACTIONAL CAPUTO-FABRIZIO DERIVATIVE

October 9, 2024 Posted by Natasha In MSMK

ABSTRACT

ON LOGISTIC GROWTH MODELS BY USING THE FRACTIONAL CAPUTO-FABRIZIO DERIVATIVE

Journal: Matrix Science Mathematic (MSMK)
Author: M.O. Aibinu, F.M. Mahomed

This is an open access article distributed under the Creative Commons Attribution License CC BY 4.0, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited

DOI: 10.26480/msmk.02.2024.35.41

This paper considers the conventional logistic model and how to obtain the solutions of fractional differential equations. It examines using a hybrid of Sumudu transform method, which is an approximate analytical method for solving fractional differential equations that are associated with time delay. Furthermore, the paper introduces the fractional Caputo-Fabrizio derivative and proportional time delay into the conventional logistic model to propose a general and more logistic model for the population growth. The paper considers different cases of the newly introduced general logistic model and using a hybrid of Sumudu transform method, their solutions were obtained. Using MATLAB, it displays and compares the behaviour of different cases of the general logistic model with fractional Caputo-Fabrizio derivative and proportional time delay.
Pages 35-41
Year 2024
Issue 2
Volume 8

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