On a fractional Zener elastic wave equation

2012/12/26 by Sven Peter Näsholm, Sverre Holm · 3 citations
Engineering · Mathematics · #Acoustic Wave Phenomena Research #Attenuation #Classical mechanics #Fractional calculus #Mathematical analysis #Mathematics #Physics #Power law #Quantum mechanics #Standard linear solid model #Thermoelastic and Magnetoelastic Phenomena #Ultrasonics and Acoustic Wave Propagation #Viscoelasticity #Wave equation #Zener diode

paper · pdf · doi:10.2478/s13540-013-0003-1

openalex publication_date 2012/12/26 · crossref created 2012/12/26 · crossref issued 2013/03/01 · crossref published 2013/03/01 · crossref published-print 2013/03/01 · crossref published-online 2013/04/05 · openalex created_date 2016/06/24 · crossref deposited 2022/06/20 · crossref indexed 2026/01/31 · openalex updated_date 2026/08/05

Citations

• A Fractional Acoustic Wave Equation from Multiple Relaxation Loss and Conservation Laws
• Applications of Fractional Calculus to Dynamic Problems of Linear and Nonlinear Hereditary Mechanics of Solids
• Linking multiple relaxation, power-law attenuation, and fractional wave equations
• Dispersion and Absorption in Dielectrics I. Alternating Current Characteristics
• Noninvasive assessment of the rheological behavior of human organs using multifrequency MR elastography: a study of brain and liver viscoelasticity
• Application of Fractional Calculus for Dynamic Problems of Solid Mechanics: Novel Trends and Recent Results
• Über den Fundamentalsatz in der Teorie der Funktionen Ea(x)
• Linear Models of Dissipation whose Q is almost Frequency Independent--II
• Fractional calculus - A different approach to the analysis of viscoelastically damped structures
• Fractional Differential Equations

Cited by

• Linking the fractional derivative and the Lomnitz creep law to non-Newtonian time-varying viscosity
• Space–time fractional Zener wave equation
• Fractional calculus [wikipedia]