Coupled systems of fractional equations related to sound propagation: Analysis and discussion

DOI10.1063/1.3698605zbMath1276.76075arXiv1304.1055OpenAlexW2078873958MaRDI QIDQ2860741

Federico Polito, Roberto Garra

Publication date: 20 November 2013

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1304.1055

Mathematics Subject Classification ID

Fractional processes, including fractional Brownian motion (60G22) Fractional derivatives and integrals (26A33) Diffusion processes (60J60) Hydro- and aero-acoustics (76Q05) Integro-partial differential equations (35R09)

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Deriving fractional acoustic wave equations from mechanical and thermal constitutive equations ⋮ Bifurcation analysis of a fractional-order delayed rolling mill's main drive electromechanical coupling system

Cites Work

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• Transient wave propagation in inhomogeneous porous materials: application of fractional derivatives
• Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
• The fundamental solutions for the fractional diffusion-wave equation
• Fractional hydrodynamic equations for fractal media
• Advances in Fractional Calculus
• Special Functions for Applied Scientists

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