On quaternionic analysis and a certain generalized fractal-fractional $\psi$-Fueter operator

This paper introduce a fractional-fractal $\psi$-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 $\psi$-Fueter operator.

Publication Details

Journal
arXiv (Cornell University)
Published
2025-02-21
Primary Topic
Algebraic and Geometric Analysis
Type
article
Field-Weighted Citation Impact
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article

On quaternionic analysis and a certain generalized fractal-fractional $\psi$-Fueter operator

arXiv (Cornell University)
Algebraic and Geometric Analysis
article

On quaternionic analysis and a certain generalized fractal-fractional $\psi$-Fueter operator

article en

Abstract

This paper introduce a fractional-fractal $\psi$-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 $\psi$-Fueter operator.

arXiv (Cornell University)
Openalex Percentile: Top 39%
Algebraic and Geometric Analysis
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