Complex fractional Zener model of wave propagation in \(\mathbb{R}\)
DOI10.1515/FCA-2018-0069zbMath1439.35518OpenAlexW2913956315MaRDI QIDQ2328564
Sanja Konjik, Marko Janev, Stevan Pilipović, Teodor M. Atanacković
Publication date: 10 October 2019
Published in: Fractional Calculus \& Applied Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1515/fca-2018-0069
wave propagationconstitutive equationfractional derivative of complex orderthermodynamical restriction
Linear constitutive equations for materials with memory (74D05) Linear waves in solid mechanics (74J05) PDEs in connection with mechanics of deformable solids (35Q74) Fractional partial differential equations (35R11)
Related Items (1)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Distributed-order fractional wave equation on a finite domain: creep and forced oscillations of a rod
- A non-local two-dimensional foundation model
- Thermodynamical restrictions and wave propagation for a class of fractional order viscoelastic rods
- Distributed-order fractional wave equation on a finite domain. Stress relaxation in a rod
- Note on the \(n\)-dimensional tempered ultra distributions
- Waves in fractional Zener type viscoelastic media
- Necessary conditions to solve fractional order wave equations using traditional Laplace transforms
- Fractional-order relaxation laws in nonlinear viscoelasticity
- On solvability of convolution equations in spaces of generalized distributions with restricted growth
- On the thermodynamics of fractional damping elements
- Expansion formula for fractional derivatives in variational problems
- On a fractional Zener elastic wave equation
- Wave equation for generalized Zener model containing complex order fractional derivatives
- An initial value problem arising in mechanics
- Generalized fractional derivatives and their applications to mechanical systems
- Wave propagation in anisotropic viscoelasticity
- Mathematical models for the non-isothermal Johnson-Segalman viscoelasticity in porous media: stability and wave propagation
- A diffusion wave equation with two fractional derivatives of different order
- Generalized viscoelastic models: their fractional equations with solutions
- On the Fractional Calculus Model of Viscoelastic Behavior
- On a fractional distributed-order oscillator
- Fractional Calculus With Applications in Mechanics
- Fractional Derivatives of Imaginary Order
This page was built for publication: Complex fractional Zener model of wave propagation in \(\mathbb{R}\)