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On Λ -Fractional Differential Geometry |
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PP: 357-376 |
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doi:10.18576/pfda/080302
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Author(s) |
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Konstantinos Anastasios Lazopoulos,
Anastasios Konstantinos Lazopoulos,
Athanassios Pirentis,
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Abstract |
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| 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.
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