On the stability analysis for a semi-analytical scheme for solving the fractional order blood ethanol concentration system using LVIM

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

Identyfikatory

DOI

10.17512/jamcm.2024.1.01

• Języki publikacji: EN

Abstrakty

EN

The purpose of this article is to present the Laplace variational iteration method, which combines the VIM with the Laplace transform approach (LVIM). This combination will result in a better and more quickly convergent sequence since nonlinear fractional differential equations (FDEs) cannot be solved using the Laplace transform. With the use of the fixed point theory, the stability analysis is specifically discussed and examined. The blood ethanol concentration system is solved numerically by using the suggested scheme. This model can be represented by a system of FDEs. The investigation will emploi the Caputo-Fabrizio fractional derivative. To provide a more in-depth study of this model, we have taken it in its fractional form so that we can more accurately follow the behavior of the solution in the future and history based on the memory effect of fractional derivatives. We determine the accuracy and efficiency of the provided process by evaluating the absolute errors, and a comparison with the existing published work. The results show that the approach is a useful tool for simulating this model.

Słowa kluczowe

EN

fractional blood ethanol concentration system; Caputo-Fabrizio fractional derivative operator; Laplace transform; VIM; fixed point theorem

PL

etanol; ułamkowa Caputo-Fabrizio; transformata Laplace'a; twierdzenie o punkcie stałym

• Wydawca: Wydawnictwo Politechniki Częstochowskiej
• Czasopismo: Journal of Applied Mathematics and Computational Mechanics
• Rocznik: 2024
• Tom: Vol. 23, nr 1
• Strony: 7--18
• Opis fizyczny: Bibliogr. 23 poz., rys., tab.

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).