| Autor: |
Aboubakr, Ahmed F. S., Ismail, Gamal M., Khader, Mohamed M., Abdelrahman, Mahmoud A. E., AbdEl-Bar, Ahmed M. T., Adel, Mohamed |
| Předmět: |
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| Zdroj: |
AIMS Mathematics; 2023, Vol. 8 Issue 12, p30704-30716, 13p |
| Abstrakt: |
The article aimed to develop an accurate approximation of the fractional derivative with a non-singular kernel (the Rabotnov fractional-exponential formula), and show how to use it to solve numerically the blood ethanol concentration system. This model can be represented by a system of fractional differential equations. First, we created a formula for the fractional derivative of a polynomial function tp using the Rabotnov exponential kernel. We used the shifted Vieta-Lucas polynomials as basis functions on the spectral collocation method in this work. By solving the specified model, this technique generates a system of algebraic equations. We evaluated the absolute and relative errors to estimate the accuracy and efficiency of the given procedure. The results point to the technique's potential as a tool for numerically treating these models. [ABSTRACT FROM AUTHOR] |
| Databáze: |
Complementary Index |
| Externí odkaz: |
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