Fractional relaxation-oscillation and fractional diffusion-wave phenomena

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

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

Peter J. Torvik, Ronald L. Bagley · Journal of Applied Mechanics · 1984 · 1.2K citations

Engineering, Mechanical Engineering, Computational Mechanics +23

Fractional diffusion and wave equations

W. R. Schneider, Walter Wyss · Journal of Mathematical Physics · 1989 · 1.1K citations

Fractional Diffusion, Fractional-order System, Physics +6

A new dissipation model based on memory mechanism

Michèle Caputo, Francesco Mainardi · Pure and Applied Geophysics · 1971 · 856 citations

Electrical Engineering, Engineering, Numerical Simulation +6

The realization of the generalized transfer equation in a medium with fractal geometry

physica status solidi (b) · 1986 · 690 citations

Fractional-order System, Physics, Fractional Dynamic +12