On fallacies in the decision between the Caputo and Riemann–Liouville fractional derivatives for the analysis of the dynamic response of a nonlinear viscoelastic oscillator

Author:

Rossikhin Yury A.,Shitikova Marina V.

Publisher

Elsevier BV

Subject

Mechanical Engineering,Mechanics of Materials,Condensed Matter Physics,General Materials Science,Civil and Structural Engineering

Reference15 articles.

1. On the equivalence of the Riemann–Liouville and the Caputo fractional order derivatives in modelling of linear viscoelastic materials;Bagley;Fractional Calculus and Applied Analysis,2007

2. Vibrations of an infinite viscoelastic layer with a dissipative memory;Caputo;Journal of the Acoustical Society of America,1974

3. Multiple time scale solution of an equation with quadratic and cubic nonlinearities having fractional-order derivative;Dal;Mathematical and Computational Applications,2011

4. Initialized fractional differential equations with Riemann–Liouville fractional-order derivative;Du;European Physical Journal Special Topics,2011

5. Reflections on two parallel ways in the progress of fractional calculus in mechanics of solids;Rossikhin;Applied Mechanics Reviews,2010

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