Wave equation for generalized Zener model containing complex order fractional derivatives

DOI10.1007/s00161-016-0548-4zbMath1365.74043arXiv1605.02165OpenAlexW3104801487MaRDI QIDQ2359848

Sanja Konjik, Marko Janev, Teodor M. Atanacković, Stevan Pilipović

Publication date: 23 June 2017

Published in: Continuum Mechanics and Thermodynamics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1605.02165

zbMATH Keywords

wave propagationconstitutive equationfractional derivative of complex orderthermodynamical restriction

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Thermal effects in solid mechanics (74F05) Linear constitutive equations for materials with memory (74D05) Classical and relativistic thermodynamics (80A10) PDEs in connection with mechanics of deformable solids (35Q74) Fractional partial differential equations (35R11)

Related Items

On a new class of constitutive equations for linear viscoelastic body, Wave propagation dynamics in a fractional Zener model with stochastic excitation, On a constitutive equation of heat conduction with fractional derivatives of complex order, Complex fractional Zener model of wave propagation in \(\mathbb{R}\), Non-linear boundary value problems involving Caputo derivatives of complex fractional order

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