An original perspective on variable-order fractional operators for viscoelastic materials

DOI10.1007/S11012-021-01316-4OpenAlexW3129230957MaRDI QIDQ6173220

Mario Di Paola, Andrea Burlon, Gioacchino Alotta, Giuseppe Failla

Publication date: 21 July 2023

Published in: Meccanica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11012-021-01316-4

zbMATH Keywords

viscoelasticityfractional calculusconstitutive modelsvariable-order

Mathematics Subject Classification ID

Theory of constitutive functions in solid mechanics (74A20) Materials of strain-rate type and history type, other materials with memory (including elastic materials with viscous damping, various viscoelastic materials) (74Dxx) Applications of fractional calculus in solid mechanics (74S40)

Related Items (4)

Shifted Bernstein-Legendre polynomial collocation algorithm for numerical analysis of viscoelastic Euler-Bernoulli beam with variable order fractional model ⋮ Study on the performance of variable-order fractional viscoelastic models to the order function parameters ⋮ Enhanced shifted Jacobi operational matrices of derivatives: spectral algorithm for solving multiterm variable-order fractional differential equations ⋮ An L1 type difference/Galerkin spectral scheme for variable-order time-fractional nonlinear diffusion-reaction equations with fixed delay

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