Resumen
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 physical systems in fractional space from various branches of science and engineering. The method used in this article, called the Stillinger's formalism, is combined in a novel way with quaternionic analysis. As a concrete application, a quaternionic reformulation of a fractional time-harmonic Maxwell system is established, thus showing a deep relation between it solutions with those of the perturbed fractional Moisil-Teodorescu operator. Furthermore, the fractional constructions here will find further applications in several applied research areas such as in hydrodynamics and magneto-hydrodynamics.
Idioma original | Inglés |
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Páginas (desde-hasta) | 6811-6818 |
Número de páginas | 8 |
Publicación | Alexandria Engineering Journal |
Volumen | 61 |
N.º | 9 |
DOI | |
Estado | Publicada - sep. 2022 |