New aspects on the fractional Euler-Lagrange equation with non-singular kernels

• Autorzy: Rangaig Norodin A.

Identyfikatory

DOI

10.17512/jamcm.2020.4.08

• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

fractional derivative operator; non-singular kernel operator; fractional action-like integral; fractional Euler-Lagrange equation

PL

operator pochodnej ułamkowej; równanie Eulera-Lagrange'a

• Wydawca: Wydawnictwo Politechniki Częstochowskiej
• Czasopismo: Journal of Applied Mathematics and Computational Mechanics
• Rocznik: 2020
• Tom: Vol. 19, nr 4
• Strony: 89--100
• Opis fizyczny: Bibliogr. 27 poz.

Twórcy

autor

Rangaig Norodin A.

• Department of Physics, Mindanao State University - Main Campus, 9700 Marawi City, Philippines

Bibliografia

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Uwagi

Opracowanie rekordu ze środków MNiSW, umowa Nr 461252 w ramach programu "Społeczna odpowiedzialność nauki" - moduł: Popularyzacja nauki i promocja sportu (2021).