Geometry of Curves with Fractional Derivatives in Lorentz Plane

Meltem ÖĞRENMİŞ

doi:https://doi.org/10.53570/jnt.1087800

Article Details

Geometry of Curves with Fractional Derivatives in Lorentz Plane

Authors:

Meltem ÖĞRENMİŞ

Publisher:

Tokat Gaziosmanpasa University

Main Topics:

Mathematics

Journal:

Journal of New Theory 2022 Issue 38, pp.88-98

Document Type:

Article

Publication Date:

3/2022

Document Language:

English

Document ID (Org No.):

2000490233

Frequency:

Quarterly

pISSN:

2149-1402

DOI:

https://doi.org/10.53570/jnt.1087800

Abstract:

 

In this paper, the geometry of curves is discussed based on the Caputo fractional derivative in the Lorentz plane. Firstly, the tangent vector of a spacelike plane curve is defined in terms of the fractional derivative. Then, by considering a spacelike curve in the Lorentz plane, the arc length and fractional ordered frame of this curve are obtained. Later, the curvature and Frenet-Serret formulas are found for this fractional ordered frame. Finally, the relation between the fractional curvature and classical curvature of a spacelike plane curve is obtained. In the last part of the study, considering the timelike plane curve in the Lorentz plane, new results are obtained with the method in the previous section.

Article Details

Geometry of Curves with Fractional Derivatives in Lorentz Plane

Authors: Meltem ÖĞRENMİŞ

Publisher: Tokat Gaziosmanpasa University

Main Topics: Mathematics

Journal: Journal of New Theory 2022 Issue 38, pp.88-98

Document Type: Article

Publication Date: 3/2022

Document Language: English

Document ID (Org No.): 2000490233

Frequency: Quarterly

pISSN: 2149-1402

DOI: https://doi.org/10.53570/jnt.1087800

Issues

Authors:

Meltem ÖĞRENMİŞ

Publisher:

Tokat Gaziosmanpasa University

Main Topics:

Mathematics

Journal:

Journal of New Theory 2022 Issue 38, pp.88-98

Document Type:

Article

Publication Date:

3/2022

Document Language:

English

Document ID (Org No.):

2000490233

Frequency:

Quarterly

pISSN:

2149-1402

DOI:

https://doi.org/10.53570/jnt.1087800