English

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 ψ\psi-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\psi-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}
}

Comments

21 pages, 0 figures

R2 v1 2026-06-28T21:52:50.151Z