Generalized fractional derivatives and their applications to mechanical systems

DOI10.1007/s00419-014-0969-0zbMath1341.34008OpenAlexW2020860594MaRDI QIDQ2630966

John T. Katsikadelis

Publication date: 28 July 2016

Published in: Archive of Applied Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00419-014-0969-0

zbMATH Keywords

numerical solutionfractional differential equationsviscoelastic structuresgeneralized fractional derivativesfractional differential viscoelastic models

Mathematics Subject Classification ID

Classical linear elasticity (74B05) Plates (74K20) Dynamical systems in solid mechanics (37N15) Fractional derivatives and integrals (26A33) Fractional ordinary differential equations (34A08)

Related Items (5)

Discrete-time fractional optimal control ⋮ What is the best fractional derivative to fit data? ⋮ On Hamilton's principle for discrete and continuous systems: a convolved action principle ⋮ A nonlinear control system with a Hilfer derivative and its optimization ⋮ Complex fractional Zener model of wave propagation in \(\mathbb{R}\)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• The BEM for numerical solution of partial fractional differential equations
• Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
• A modified Zener model of a viscoelastic body
• A review of definitions for fractional derivatives and integral
• Finite element formulation of viscoelastic constitutive equations using fractional time derivatives
• Vibrations of inhomogeneous anisotropic viscoelastic bodies described with fractional derivative models
• Dynamics of a Viscoelastic Rod of Fractional Derivative Type
• The analog equation method: A boundary-only integral equation method for nonlinear static and dynamic problems in general bodies
• Numerical solution of multi‐term fractional differential equations
• Fractional Calculus with Applications in Mechanics

This page was built for publication: Generalized fractional derivatives and their applications to mechanical systems