Open Journal of Mathematical Sciences
Vol. 7 (2023), Issue 1, pp. 339-345
ISSN: 2523-0212 (Online) 2616-4906 (Print)
DOI: 10.30538/oms2023.0216
Laplace transform method for logistic growth in a population and predator models with fractional order
Abubker Ahmed\(^{1,2,3*}\)
\(^{1}\)Ibn Khaldoon College, Program of Information Technology, Khartoum, Sudan.
\(^{2}\)AlMughtaribeen University, College of Engineering, Department of General Sciences, Sudan.
\(^{3}\)University of Science & Technology, College of Engineering, Sudan.
Copyright © 2023 Abubker Ahmed. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Received: February 26, 2023 – Accepted: June 12, 2023 – Published: December 27, 2023
Abstract
In this paper, we develop a new application of the Laplace transform method (LTM) using the series expansion of the dependent variable for solving fractional logistic growth models in a population as well as fractional prey-predator models. The fractional derivatives are described in the Caputo sense. To illustrate the reliability of the method some examples are provided. The results reveal that the technique introduced here is very effective and convenient for solving fractional-order nonlinear differential equations.
Keywords:
Laplace transform method; Fractional power series; Caputo fractional derivative; Fractional differential equations.