Generalized fractional calculus with applications to the calculus of variations

Recent history of fractional calculus

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

Fractional-order System, Fractional Dynamic, Foundational Calculus

Some properties of fractional integrals. I.

G. H. Hardy, J. E. Littlewood · Mathematische Zeitschrift · 1928 · 895 citations

Fractional-order System, Fractional Integrals, Definite Integral +2

Nonconservative Lagrangian and Hamiltonian mechanics

Fred Riewe · Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics · 1996 · 715 citations

Hamiltonian Theory, Engineering, Fractional-order System +13

Mechanics with fractional derivatives

Fred Riewe · Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics · 1997 · 662 citations

Hamiltonian Theory, Fractional-order System, Mechanics +7

Fractional variational calculus in terms of Riesz fractional derivatives

Om P. Agrawal · Journal of Physics A Mathematical and Theoretical · 2007 · 376 citations

Numerical Analysis, Engineering, Fractional-order System +8