Solvability and microlocal analysis of the fractional Eringen wave equation

DOI10.1177/1081286517726371zbMath1446.74151arXiv1703.01911OpenAlexW2750561019MaRDI QIDQ5132060

Ljubica Oparnica, Dusan Zorica, Günther Hörmann

Publication date: 9 November 2020

Published in: Mathematics and Mechanics of Solids (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1703.01911

zbMATH Keywords

fractional derivativesCauchy problemdistributional solutionswavefront setEringen constitutive equation

Mathematics Subject Classification ID

Existence of solutions of dynamical problems in solid mechanics (74H20) Uniqueness of solutions of dynamical problems in solid mechanics (74H25) Waves in solid mechanics (74J99) PDEs in connection with mechanics of deformable solids (35Q74)

Related Items (3)

Fractional Burgers wave equation ⋮ Hereditariness and non-locality in wave propagation modeling ⋮ Energy dissipation for hereditary and energy conservation for non-local fractional wave equations

Cites Work

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• A review on nonlocal elastic models for bending, buckling, vibrations, and wave propagation of nanoscale beams
• Pulses and waves for a bistable nonlocal reaction-diffusion equation
• Fourier integral operators. I

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