On existence and uniqueness of solution for space-time fractional Zener model

DOI10.1007/S10440-020-00348-4zbMath1462.35440OpenAlexW3040725490MaRDI QIDQ829588

N. E. Zubov

Publication date: 6 May 2021

Published in: Acta Applicandae Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10440-020-00348-4

zbMATH Keywords

strong solutionfractional derivativeenergy decayviscoelastic waveswaves propagation in dissipative media

Mathematics Subject Classification ID

Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Linear constitutive equations for materials with memory (74D05) Linear waves in solid mechanics (74J05) Computational methods for problems pertaining to geophysics (86-08) Fractional partial differential equations (35R11) Second-order hyperbolic systems (35L51)

Related Items (2)

NONEXISTENCE RESULTS FOR A CLASS OF NONLINEAR FRACTIONAL DIFFERENTIAL INEQUALITIES INVOLVING ERDÉLYI–KOBER FRACTIONAL DERIVATIVES ⋮ Wave propagation dynamics in a fractional Zener model with stochastic excitation

Cites Work

• Waves in fractional Zener type viscoelastic media
• Efficient solution of a wave equation with fractional-order dissipative terms
• Fractals and fractional calculus in continuum mechanics
• A modified Zener model of a viscoelastic body
• A mixed finite element approach for viscoelastic wave propagation
• Algorithms for the fractional calculus: a selection of numerical methods
• On the Appearance of the Fractional Derivative in the Behavior of Real Materials
• Fractional calculus - A different approach to the analysis of viscoelastically damped structures
• Generalized viscoelastic models: their fractional equations with solutions
• Kelvin-Voigt versus fractional derivative model as constitutive relations for viscoelastic materials
• Fractional Calculus With Applications in Mechanics
• The numerical solution of fractional differential equations: speed versus accuracy

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