A novel analytical method for the exact solution of the fractional-order biological population model

• Autorzy: Elzaki Tarig M. , Mohamed Mohamed Z.

Identyfikatory

DOI

10.2478/ama-2024-0059

• Języki publikacji: EN

Abstrakty

EN

In this research, we develop a new analytical technique based on the Elzaki transform (ET) to solve the fractional-order biological population model (FBPM) with initial and boundary conditions (ICs and BCs). This approach can be used to locate both the closed approximate solution and the exact solution of a differential equation. The usefulness and validity of this strategy for managing the solution of FBPM are demonstrated using a few real-world scenarios. The dependability of the suggested strategy is also shown using a table and a few graphs. The approximate solutions that were achieved and the convergence analysis are shown in numerical simulations in a range of fractional orders. From the numerical simulations, it can be seen that the population density increases with increasing fractional order, whereas the population density drops with decreasing fractional order.

Słowa kluczowe

EN

fractional biological population model; novel analytical method; Elzaki transform; Mittag-Leffler

• Wydawca: Oficyna Wydawnicza Politechniki Białostockiej
• Czasopismo: Acta Mechanica et Automatica
• Rocznik: 2024
• Tom: Vol. 18, no. 3
• Strony: 564--570
• Opis fizyczny: Bibliogr. 28 poz., rys., tab., wykr.

Twórcy

autor

Elzaki Tarig M.

• Mathematics Department, College of Sciences and Arts, Alkamel, University of Jeddah, Saudi Arabia

• https://orcid.org/0000-0002-6946-9267

autor

Mohamed Mohamed Z.

• Mathematics Department, Academy of Engineering and Medical Sciences, Khartoum 12045, Sudan
• Mathematics Department, Prince Muqrin University, Almadinah Almunawwarah, Saudi Arabia

• https://orcid.org/0000-0002-8041-5841

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