Work

On the Characterization of Smarandache Curves of Fractional Order in Euclidean 3-Space

Year: 2026

Type: article

Abstract: This paper investigates and characterizes Smarandache space curves, an important class of curves, using the Caputo fractional Frenet frame. The Frenet frame and fractional curvature functions have been calculated for these fractional Smarandache curves. To demonstrate the theoretical results obtained, an example of a fractional Smarandache curve derived from a helical curve is considered, and the curvatures of this curve are explicitly calculated. Finally, to show the effect of the fractional order parameter on the geometric behavior, a graphical analysis of the curvatures obtained for different fractional orders is presented.

Source: Fractal and Fractional

DOI: 10.3390/fractalfract10050292

Authors: Aykut Toplama, Oğuzhan Bahadır, Md Aquib

Institutions: Kilis 7 Aralık University, Kahramanmaraş Sütçü İmam University, Imam Mohammad ibn Saud Islamic University

Language: English

Topic: Advanced Differential Geometry Research

Subfield: Astronomy and Astrophysics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $3,258

Funder: Al-Imam Muhammad Ibn Saud Islamic University