Biquaternionic Reformulation of a Fractional Monochromatic Maxwell System
Yudier Pe\~na P\'erez, Ricardo Abreu Blaya, Mart\'in Patricio \'Arciga, Alejandre, Juan Bory Reyes

TL;DR
This paper introduces a biquaternionic reformulation of a fractional monochromatic Maxwell system, demonstrating its application in linear hydrodynamics and elasticity to showcase the approach's versatility.
Contribution
It presents a novel biquaternionic framework for fractional Maxwell systems, bridging electromagnetic theory with quaternionic analysis and applications.
Findings
Quaternionic fractional approach effectively models electromagnetic phenomena.
Applications demonstrated in hydrodynamics and elasticity.
Provides new mathematical tools for fractional systems.
Abstract
In this work we propose a biquaternionic reformulation of a fractional monochromatic Maxwell system. Additionally, some examples are given to illustrate how the quaternionic fractional approach emerges in linear hydrodynamic and elasticity.
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