- Tytuł:
- Numerical solution of a fractional coupled system with the Caputo-Fabrizio fractional derivative
- Autorzy:
-
Mansouri, Ikram
Bekkouche, Mohammed Moumen
Ahmed, Abdelaziz Azeb - Powiązania:
- https://bibliotekanauki.pl/articles/2202061.pdf
- Data publikacji:
- 2023
- Wydawca:
- Politechnika Częstochowska. Wydawnictwo Politechniki Częstochowskiej
- Tematy:
-
Caputo-Fabrizio fractional derivative
fractional integral
coupled system
fractional differential equation
fixed point
Adomian decomposition method
pochodna ułamkowa Caputo-Fabrizio
całkowanie ułamkowe
system sprzężony
ułamkowe równanie różniczkowe
punkt stały
metoda dekompozycji Adomiana - Opis:
- Within this work, we discuss the existence of solutions for a coupled system of linear fractional differential equations involving Caputo-Fabrizio fractional orders. We prove the existence and uniqueness of the solution by using the Picard-Lindel ̈of method and fixed point theory. Also, to compute an approximate solution of problem, we utilize the Adomian decomposition method (ADM), as this method provides the solution in the form of a series such that the infinite series converge to the exact solution. Numerical examples are presented to illustrate the validity and effectiveness of the proposed method.
- Źródło:
-
Journal of Applied Mathematics and Computational Mechanics; 2023, 22, 1; 46--56
2299-9965 - Pojawia się w:
- Journal of Applied Mathematics and Computational Mechanics
- Dostawca treści:
- Biblioteka Nauki
Artykuł