Modes of the homogeneous chain dynamics

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

Integration and differentiation to a variable fractional order

Stefan Samko, Bertram Ross · Integral Transforms and Special Functions · 1993 · 598 citations

Natural Sciences, Mathematics, Physics +8

Leibniz Rule for Fractional Derivatives Generalized and an Application to Infinite Series

Thomas J. Osler · SIAM Journal on Applied Mathematics · 1970 · 282 citations

Natural Sciences, Mathematics, Derivatives +10

Discrete-time fractional-order controllers

J. A. Tenreiro Machado · Portuguese National Funding Agency for Science, Research and Technology (RCAAP Project by FCT) · 2001 · 243 citations · Full text

XLV.<i>On fractional differentials</i>

Andrew Gemant · The London Edinburgh and Dublin Philosophical Magazine and Journal of Science · 1938 · 165 citations

Natural Sciences, Mathematics, Differential Equations +3