Spatially fractional-order viscoelasticity, non-locality, and a new kind of anisotropy

DOI10.1063/1.4712300zbMath1276.74015arXiv1111.1680OpenAlexW2079111981MaRDI QIDQ2860763

Małgorzata Seredyńska, Andrzej Hanyga

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/1111.1680

zbMATH Keywords

fundamental solutions of Cauchy problem

Mathematics Subject Classification ID

Viscoelastic fluids (76A10) Fractional derivatives and integrals (26A33) Linear constitutive equations for materials with memory (74D05) Fractional partial differential equations (35R11)

Related Items (4)

Spatial dispersion of elastic waves in a bar characterized by tempered nonlocal elasticity ⋮ Lie group analysis and similarity solution for fractional Blasius flow ⋮ Wave propagation in a fractional viscoelastic Andrade medium: diffusive approximation and numerical modeling ⋮ Finite volume method for mixed convection boundary layer flow of viscoelastic fluid with spatial fractional derivatives over a flat plate

Cites Work

• Unnamed Item
• Unnamed Item
• The \(M\)-Wright function in time-fractional diffusion processes: a tutorial survey
• Hamiltonian and Lagrangian theory of viscoelasticity
• The analysis of fractional differential equations. An application-oriented exposition using differential operators of Caputo type
• Wave field simulation for heterogeneous porous media with singular memory drag force
• Relations between relaxation modulus and creep compliance in anisotropic linear viscoelasticity
• On the Appearance of the Fractional Derivative in the Behavior of Real Materials
• Multidimensional solutions of space–fractional diffusion equations
• Multi–dimensional solutions of space–time–fractional diffusion equations
• Multidimensional solutions of time-fractional diffusion-wave equations

This page was built for publication: Spatially fractional-order viscoelasticity, non-locality, and a new kind of anisotropy