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\({\mathcal {C}}_\alpha -\)ruled surfaces respect to direction curve in fractional differential geometry

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Abstract

Conformable fractional calculus is a relatively new branch of mathematics that seeks to extend traditional calculus to include non-integer order derivatives and integrals. This new form of calculus allows for a more precise description of physical phenomena, such as those related to fractal geometry and chaos theory. It also offers new tools for solving problems in physics, engineering, finance, and other areas. By using conformable fractional calculus, researchers can gain insight into the behavior of systems that would otherwise be difficult or impossible to analyze. In this article, we will discuss the fundamentals of conformable fractional calculus and its applications in various fields. For this purpose ruled surfaces are studied with conformable fractional calculus. The ruled surface is rearranged concerning the conformable surface definition and geometric properties are investigated.

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Acknowledgements

We thank the editor and the referees for their contributions.

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The authors declare that no funds, grants, or other support were received during the preparation of this manuscrip.

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Author notes

  1. Aykut Has and and Kebire Hilal Ayvacı have contributed equally to this work.

Authors and Affiliations

  1. Department of Mathematics, Faculty of Science, Kahramanmaras Sutcu Imam University, 46100, Kahramanmaras, Turkey

    Aykut Has & Beyhan Yılmaz

  2. Department of Mathematics, Faculty of Science and Art, Ordu University, 52200, Ordu, Turkey

    Kebire Hilal Ayvacı

Authors
  1. Aykut Has
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  2. Beyhan Yılmaz
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  3. Kebire Hilal Ayvacı
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Correspondence to Aykut Has.

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Has, A., Yılmaz, B. & Ayvacı, K.H. \({\mathcal {C}}_\alpha -\)ruled surfaces respect to direction curve in fractional differential geometry. J. Geom. 115, 11 (2024). https://doi.org/10.1007/s00022-023-00710-5

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  • DOI: https://doi.org/10.1007/s00022-023-00710-5

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