Biquaternionic reformulation of a fractional monochromatic Maxwell system

DOI10.1155/2020/6894580zbMath1434.35275arXiv1911.09191OpenAlexW3001947348WikidataQ126321195 ScholiaQ126321195MaRDI QIDQ2176897

Martín Patricio Árciga Alejandre, Yudier Peña Pérez, Ricardo Abreu-Blaya, Juan Bory-Reyes

Publication date: 5 May 2020

Published in: Advances in High Energy Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1911.09191

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Fractional partial differential equations (35R11) Maxwell equations (35Q61)

Related Items (3)

A QUATERNIONIC FRACTIONAL BOREL–POMPEIU-TYPE FORMULA ⋮ A FRACTIONAL BOREL–POMPEIU-TYPE FORMULA FOR HOLOMORPHIC FUNCTIONS OF TWO COMPLEX VARIABLES ⋮ Fractional slice regular functions of a quaternionic variable

Cites Work

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• Fractional electromagnetic equations using fractional forms
• Fractional differential equations as alternative models to nonlinear differential equations
• Maxwell's equations on Cantor sets: a local fractional approach
• Non-standard extensions of gradient elasticity: fractional non-locality, memory and fractality
• From a generalised Helmholtz decomposition theorem to fractional Maxwell equations
• Fractional vector calculus and fractional Maxwell's equations
• Eigenfunctions and fundamental solutions of the fractional two-parameter Laplacian
• The Gauss-Green theorem for fractal boundaries
• The fractional calculus. Theory and applications of differentiation and integration to arbitrary order
• Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
• Equivalence of Dirac and Maxwell equations and quantum mechanics
• Modifying Maxwell's equations for dielectric materials based on techniques from viscoelasticity and concepts from fractional calculus
• Fundamental solution of a distributed order time-fractional diffusion-wave equation as probability density
• Eigenfunctions and fundamental solutions of the fractional Laplace and Dirac operators: the Riemann-Liouville case
• Fractional heat equation and the second law of thermodynamics
• Continuous limit of discrete systems with long-range interaction
• Map of discrete system into continuous
• Vacuum electrodynamics of accelerated systems: Nonlocal Maxwell's equations
• Inframonogenic functions and their applications in 3‐dimensional elasticity theory
• Surface integrals for domains with fractal boundaries and some applications to elasticity
• Fractional Calculus: Integral and Differential Equations of Fractional Order
• Application of bicomplex (quaternion) algebra to fundamental electromagnetics: a lower order alternative to the Helmholtz equation
• Eigenfunctions and fundamental solutions of the fractional Laplace and Dirac operators using Caputo derivatives
• Cauchy integral formula for generalized analytic functions in hydrodynamics
• Basic Theory of Fractional Differential Equations
• Fractional Calculus
• Inverse acoustic and electromagnetic scattering theory

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