On quaternionic analysis and a certain generalized fractal-fractional $\psi$-Fueter operator
Complex Variables
2025-02-24 v1
Abstract
This paper introduce a fractional-fractal -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 -Fueter operator.
Keywords
Cite
@article{arxiv.2502.15518,
title = {On quaternionic analysis and a certain generalized fractal-fractional $\psi$-Fueter operator},
author = {José Oscar González-Cervantes and Juan Adrián Ramírez-Belman and Juan Bory-Reyes},
journal= {arXiv preprint arXiv:2502.15518},
year = {2025}
}
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21 pages, 0 figures