Numerical solution of a fractional-order Bagley–Torvik equation by quadratic finite element method

On the Appearance of the Fractional Derivative in the Behavior of Real Materials

Peter J. Torvik, Ronald L. Bagley · Journal of Applied Mechanics · 1984 · 1.3K citations

Engineering, Materials Science, Physics +13

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

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

Engineering, Materials Science, Mechanical Engineering +17

Variational formulation for the stationary fractional advection dispersion equation

Vincent J. Ervin, John Paul Roop · Numerical Methods for Partial Differential Equations · 2005 · 790 citations

Computing, Computational Engineering, Mathematics +16

Fractional calculus in the transient analysis of viscoelastically damped structures

Ronald L. Bagley, Peter J. Torvik · AIAA Journal · 1985 · 525 citations

Engineering, Mechanical Engineering, Finite Element Analysis +16

Application of Fractional Calculus to Fluid Mechanics

Vladimír Kulish, José Luis Caramés Lage · Journal of Fluids Engineering · 2002 · 447 citations

Natural Sciences, Mathematics, Physics +13