# 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} }

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 derivative… Expand

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 base… Expand

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