Response and stability of a SDOF strongly nonlinear stochastic system with light damping modeled by a fractional derivative

A Theoretical Basis for the Application of Fractional Calculus to Viscoelasticity

Ronald L. Bagley, Peter J. Torvik · Journal of Rheology · 1983 · 1.9K citations

Engineering, Fluid Mechanics, Mechanical Engineering +16

Applications of Fractional Calculus to the Theory of Viscoelasticity

R. C. Koeller · Journal of Applied Mechanics · 1984 · 1.4K citations

Materials Science, Engineering, Fractional-order System +12

Fractional calculus - A different approach to the analysis of viscoelastically damped structures

Ronald L. Bagley, Peter J. Torvik · AIAA Journal · 1983 · 1.2K citations

Different Approach, Stress-strain Relationships, Engineering +15

Fractional calculus in the transient analysis of viscoelastically damped structures

Ronald L. Bagley, Peter J. Torvik · AIAA Journal · 1985 · 518 citations

Modal Analysis, Fractional Calculus Model, Engineering +15

Application of fractional derivatives to seismic analysis of base‐isolated models

C. G. Koh, James M. Kelly · Earthquake Engineering & Structural Dynamics · 1990 · 270 citations

Oscillator Consisting, Engineering, Seismic Wave +23