"On Λ -Fractional Differential Geometry" by Konstantinos Anastasios Lazopoulos, Anastasios Konstantinos Lazopoulos et al.

Progress in Fractional Differentiation & Applications

Article Title

Authors

Konstantinos Anastasios Lazopoulos, Independent researcher, Athens, GreeceFollow
Anastasios Konstantinos Lazopoulos, Hellenic Army Academy, Department of Military Sciences, Sector of Mathematics and Engineering Applications, Applied Mechanics Laboratory, Vari, 16673, GreeceFollow
Athanassios Pirentis, Independent researcher, Athens, GreeceFollow

Author Country (or Countries)

Greece

Abstract

Applying a new fractional derivative, the Λ- fractional derivative, with the corresponding Λ-fractional space, fractional differential geometry is discussed. The Λ-fractional derivative satisfies the conditions for the existence of a differential, demanded by the differential topology, in the Λ-fractional space, where the Λ-derivatives behave like the conventional ones. Thus, fractional differential geometry is established in that Λ -space in the conventional way. The results are pulled back to the initial space. The present work concerns the geometry of fractional curves and surfaces.

Digital Object Identifier (DOI)

http://dx.doi.org/10.18576/pfda/080302

Recommended Citation

Anastasios Lazopoulos, Konstantinos; Konstantinos Lazopoulos, Anastasios; and Pirentis, Athanassios (2022) "On Λ -Fractional Differential Geometry," Progress in Fractional Differentiation & Applications: Vol. 8: Iss. 3, Article 2.
DOI: http://dx.doi.org/10.18576/pfda/080302
Available at: https://digitalcommons.aaru.edu.jo/pfda/vol8/iss3/2

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