Microlocal analysis of fractional wave equations

DOI10.1002/zamm.201600036arXiv1512.06589MaRDI QIDQ6065105

Günther Hörmann, Ljubica Oparnica, Dusan Zorica

Publication date: 11 December 2023

Published in: ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1512.06589

zbMATH Keywords

Cauchy problemwave front setfractional Zener modelspace-time fractional wave equationfractional strain measure

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Linear constitutive equations for materials with memory (74D05) Linear waves in solid mechanics (74J05) Fractional partial differential equations (35R11)

Related Items

Distributed-order fractional constitutive stress-strain relation in wave propagation modeling, Fractional Burgers wave equation

Cites Work

• Waves in fractional Zener type viscoelastic media
• Hyperbolic second order equations with non-regular time dependent coefficients
• Fourier integral operators. I
• Space–time fractional Zener wave equation
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