On quaternionic analysis and a certain generalized fractal-fractional $ψ$-Fueter operator
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| Main Authors: | , , |
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| Format: | Preprint |
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2025
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| _version_ | 1866909504177700864 |
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| author | González-Cervantes, José Oscar Ramírez-Belman, Juan Adrián Bory-Reyes, Juan |
| author_facet | González-Cervantes, José Oscar Ramírez-Belman, Juan Adrián Bory-Reyes, Juan |
| contents | This paper introduce a fractional-fractal $ψ$-Fueter operator in the quaternionic context inspired in the concepts of proportional fractional derivative and Hausdorff derivative of a function with respect to a fractal measure. Moreover, we establish the corresponding Stokes and Borel-Pompeiu formulas associated to this generalized fractional-fractal $ψ$-Fueter operator. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2502_15518 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | On quaternionic analysis and a certain generalized fractal-fractional $ψ$-Fueter operator González-Cervantes, José Oscar Ramírez-Belman, Juan Adrián Bory-Reyes, Juan Complex Variables 30G35 This paper introduce a fractional-fractal $ψ$-Fueter operator in the quaternionic context inspired in the concepts of proportional fractional derivative and Hausdorff derivative of a function with respect to a fractal measure. Moreover, we establish the corresponding Stokes and Borel-Pompeiu formulas associated to this generalized fractional-fractal $ψ$-Fueter operator. |
| title | On quaternionic analysis and a certain generalized fractal-fractional $ψ$-Fueter operator |
| topic | Complex Variables 30G35 |
| url | https://arxiv.org/abs/2502.15518 |