- Tytuł:
- New aspects on the fractional Euler-Lagrange equation with non-singular kernels
- Autorzy:
- Rangaig, Norodin A.
- Powiązania:
- https://bibliotekanauki.pl/articles/1839747.pdf
- Data publikacji:
- 2020
- Wydawca:
- Politechnika Częstochowska. Wydawnictwo Politechniki Częstochowskiej
- Tematy:
-
fractional derivative operator
non-singular kernel operator
fractional action-like integral
fractional Euler-Lagrange equation
operator pochodnej ułamkowej
równanie Eulera-Lagrange'a - Opis:
- In this paper, we presented some notes in utilizing the fractional integral counterparts of the fractional derivatives with non-singular kernels on the action-like integral in Lagrangian mechanics. Considering a fractional integral, it may suggest that a dissipative term on the resulting fractional Euler-Lagrange equation can be obtained due to the imposed kernel. However, in the case of nonsingular kernel operators, different aspects of the fractional action-like integral were observed, and corresponding (fractionally-modified) Euler-Lagrange were derived, which imposes new insights on the dynamical system under the fractional regime.
- Źródło:
-
Journal of Applied Mathematics and Computational Mechanics; 2020, 19, 4; 89-100
2299-9965 - Pojawia się w:
- Journal of Applied Mathematics and Computational Mechanics
- Dostawca treści:
- Biblioteka Nauki
Artykuł