Differential geometry of viscoelastic models with fractional-order derivatives

DOI10.1088/1751-8113/43/38/385207zbMath1254.74025OpenAlexW2012380139MaRDI QIDQ3161099

Takahiro Yajima, Hiroyuki Nagahama

Publication date: 11 October 2010

Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/1751-8113/43/38/385207

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Linear constitutive equations for materials with memory (74D05) Applications of local differential geometry to the sciences (53B50)

Related Items (6)

Finsler differential geometry in continuum mechanics: Fundamental concepts, history, and renewed application to ferromagnetic solids ⋮ Geometric Structures of Fractional Dynamical Systems in Non‐Riemannian Space: Applications to Mechanical and Electromechanical Systems ⋮ Unnamed Item ⋮ Hodge duality between stress space and strain space in anisotropic media ⋮ Rheological analysis of the general fractional-order viscoelastic model involving the Miller-Ross kernel ⋮ Geometry of curves with fractional-order tangent vector and Frenet-Serret formulas

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