Stochastic response of a class of self-excited systems with Caputo-type fractional derivative driven by Gaussian white noise

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, Mathematics, Physics +13

Recent history of fractional calculus

J. A. Tenreiro Machado, Virginia Kiryakova, Francesco Mainardi · Communications in Nonlinear Science and Numerical Simulation · 2010 · 1.6K citations · Full text

Natural Sciences, Mathematics, Applied Mathematics +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

Fractional relaxation-oscillation and fractional diffusion-wave phenomena

Francesco Mainardi · Chaos Solitons & Fractals · 1996 · 980 citations

Natural Sciences, Mathematics, Physics +11

Application of Fractional Calculus for Dynamic Problems of Solid Mechanics: Novel Trends and Recent Results

Yury A. Rossikhin, Marina V. Shitikova · Applied Mechanics Reviews · 2009 · 629 citations

Engineering, Mechanical Engineering, Solid Mechanics +16