# A quaternionic fractional Borel-Pompeiu type formula

@article{GonzalezCervantes2021AQF,
title={A quaternionic fractional Borel-Pompeiu type formula},
author={Jos'e Oscar Gonz'alez-Cervantes and Juan Bory-Reyes},
journal={Fractals},
year={2021}
}
• Published 20 September 2021
• Mathematics
• Fractals
In theoretical setting, associated with a fractional ψ−Fueter operator that depends on an additional vector of complex parameters with fractional real parts, this paper establishes a fractional analogue of Borel-Pompeiu formula as a first step to develop a fractional ψ−hyperholomorphic function theory and the related operator calculus.
2 Citations
A fractional Borel-Pompeiu type formula for holomorphic functions of two complex variables
• Mathematics
• 2021
The present paper is a continuation of our work [11], where we introduced a fractional operator calculus related to a fractional ψ−Fueter operator in the one-dimensional Riemann–Liouville derivativeExpand
A quaternionic perturbed fractional $\psi-$Fueter operator calculus
• Mathematics
• 2021
Quaternionic analysis offers a function theory focused on the concept of ψ−hyperholomorphic functions defined as null solutions of the ψ−Fueter operator, where ψ is an arbitrary orthogonal baseExpand

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