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 …

In this work, we introduce a fractional generalization of the classical Moisil-Teodorescu
operator that provides a concise notation for presenting a mathematical formulation of …

This work presents the basic elements and results of a Clifford algebra valued fractional
slice monogenic functions theory defined from the null-solutions of a suitably fractional …

The main goal of this paper is to construct a proportional analogues of the quaternionic
fractional Fueter-type operator recently introduced in the literature. We start by establishing a …

The theory of slice regular functions of a quaternionic variable on the unit ball of the
quaternions was introduced by Gentili and Struppa in 2006 and nowadays it is a well …

This paper is a continuation of our work [JO González Cervantes and J. Bory Reyes, A
quaternionic fractional Borel–Pompeiu type formula, Fractal 30 (1)(2022) 2250013], where …