Semi-analytical scheme with its stability analysis for solving the fractional-order predator-prey equations by using Laplace-VIM

• Autorzy: Adel Mohamed , Sweilam Nasser H. , Khader Mohamed M.

Identyfikatory

DOI

10.17512/jamcm.2023.4.01

• Języki publikacji: EN

Abstrakty

EN

The article’s goal is to implement a semi-analytical technique named, the Laplace variational iteration method (LVIM), which is the combination of VIM and Laplace transform method. Although both the Laplace transform method and VIM cannot be applied to some nonlinear fractional differential equations (FDEs) individually, this combination will give a fast-convergent solution to the problem under study. The proposed scheme is used to numerically solve a biodynamic system called the Lotka-Volterra system, i.e. Predator-Prey Equations (PPEs). The system of FDEs can be used to represent this scenario, as well as the Caputo-Fabrizio fractional derivative will be used throughout the study. By assessing the residual error function, we can confirm that the given procedure is effective and accurate. The outcomes demonstrate that the technique used is an effective tool for simulating such models.

Słowa kluczowe

EN

fractional predator-prey equations; Caputo-Fabrizio fractional derivative operator; Laplace transform; fixed point; VIM

PL

równanie ułamkowe; pochodna ułamkowa Caputo-Fabrizio; równanie Laplace’a; metoda Laplace’a; punkt stały

• Wydawca: Wydawnictwo Politechniki Częstochowskiej
• Czasopismo: Journal of Applied Mathematics and Computational Mechanics
• Rocznik: 2023
• Tom: Vol. 22, nr 4
• Strony: 5--17
• Opis fizyczny: Bibliogr. 23 poz., rys.

Twórcy

autor

Adel Mohamed

• Department of Mathematics, Faculty of Science, Islamic University of Madinah Medina, KSA

autor

Sweilam Nasser H.

• Department of Mathematics, Faculty of Science, Cairo University Giza, Egypt

autor

Khader Mohamed M.

• Department of Mathematics and Statistics, College of Science, Imam Mohammad Ibn Saud Islamic University (IMSIU) Riyadh, KSA
• Department of Mathematics, Faculty of Science, Benha University Benha, Egypt

Bibliografia

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Uwagi

Opracowanie rekordu ze środków MNiSW, umowa nr SONP/SP/546092/2022 w ramach programu "Społeczna odpowiedzialność nauki" - moduł: Popularyzacja nauki i promocja sportu (2024).