On the Darboux vector of a new fractional frame

• Autorzy: Toplama Aykut , Dede Mustafa

Identyfikatory

DOI

10.17512/jamcm.2024.1.09

• Języki publikacji: EN

Abstrakty

EN

Fractional derivatives are useful tools for many applications in different branch of science such as optics and engineering. In this paper, the ∧-fractional frame that is obtained along a space curve by using the ∧-fractional derivative is being examined in Euclidean E3 space. In addition, the Darboux vector of the ∧-fractional Frenet frame is constructed. Then the curvatures of the standard Frenet frame, the ∧-fractional Frenet frame and the ∧-fractional Darboux vector are compared geometrically.

Słowa kluczowe

EN

Frenet frame; space curves; fractional derivative

PL

Rama Freneta; krzywe przestrzenne; pochodna ułamkowa

• Wydawca: Wydawnictwo Politechniki Częstochowskiej
• Czasopismo: Journal of Applied Mathematics and Computational Mechanics
• Rocznik: 2024
• Tom: Vol. 23, nr 1
• Strony: 109--120
• Opis fizyczny: Bibliogr. 22 poz., rys.

Twórcy

autor

Toplama Aykut

• Department Mathematics, University Kilis 7 Aralık Kilis, Turkey

autor

Dede Mustafa

• Department Mathematics, University Kilis 7 Aralık Kilis, Turkey

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).