Article
Open Access
On a fractional Zener elastic wave equation
-
Sven Näsholm
and
Sverre Holm
Published/Copyright:
December 27, 2012
Published Online: 2012-12-27
Published in Print: 2013-3-1
© 2013 Diogenes Co., Sofia
Articles in the same Issue
- FCAA related meetings and news (FCAA-Volume 16-1-2013)
- Numerical methods for solving the multi-term time-fractional wave-diffusion equation
- On a fractional Zener elastic wave equation
- Solvability for a couple system of nonlinear fractional differential equations in a Banach space
- Green’s theorem for generalized fractional derivatives
- A variable-order time-fractional derivative model for chloride ions sub-diffusion in concrete structures
- Analysis and shaping of the self-sustained oscillations in relay controlled fractional-order systems
- A modified variational iteration method for solving fractional Riccati differential equation by Adomian polynomials
- Numerics for the fractional Langevin equation driven by the fractional Brownian motion
- Stability and stabilization of fractional-order linear systems with convex polytopic uncertainties
- Microscopic model of dielectric α-relaxation in disordered media
- Bounds on the solution of a Cauchy-type problem involving a weighted sequential fractional derivative
- Stochastic dynamics and fractional optimal control of quasi integrable Hamiltonian systems with fractional derivative damping
- Well-posedness for the nonlinear fractional Schrödinger equation and inviscid limit behavior of solution for the fractional Ginzburg-Landau equation
- Reflection symmetric formulation of generalized fractional variational calculus
- Fractional wave equations with attenuation
- Differentiation similarities in fractional pseudo-state space representations and the subspace-based methods
Keywords for this article
fractional calculus;
acoustical wave equations;
elastic wave equations;
fractional wave equations;
fractional viscoelasticity;
fractional ordinary and partial differential equations
Creative Commons
BY-NC-ND 3.0
Articles in the same Issue
- FCAA related meetings and news (FCAA-Volume 16-1-2013)
- Numerical methods for solving the multi-term time-fractional wave-diffusion equation
- On a fractional Zener elastic wave equation
- Solvability for a couple system of nonlinear fractional differential equations in a Banach space
- Green’s theorem for generalized fractional derivatives
- A variable-order time-fractional derivative model for chloride ions sub-diffusion in concrete structures
- Analysis and shaping of the self-sustained oscillations in relay controlled fractional-order systems
- A modified variational iteration method for solving fractional Riccati differential equation by Adomian polynomials
- Numerics for the fractional Langevin equation driven by the fractional Brownian motion
- Stability and stabilization of fractional-order linear systems with convex polytopic uncertainties
- Microscopic model of dielectric α-relaxation in disordered media
- Bounds on the solution of a Cauchy-type problem involving a weighted sequential fractional derivative
- Stochastic dynamics and fractional optimal control of quasi integrable Hamiltonian systems with fractional derivative damping
- Well-posedness for the nonlinear fractional Schrödinger equation and inviscid limit behavior of solution for the fractional Ginzburg-Landau equation
- Reflection symmetric formulation of generalized fractional variational calculus
- Fractional wave equations with attenuation
- Differentiation similarities in fractional pseudo-state space representations and the subspace-based methods
