31 citations · 432 across the 52 of their papers we have counts for
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math-ph2016★ 15 cited
A fractional generalization of the classical lattice dynamics approach
T. M. Michelitsch, B. A. Collet, A. P. Riascos +2
We develop physically admissible lattice models in the harmonic approximation which define by Hamilton's variational principle fractional Laplacian matrices of the forms of power l…
math-ph2016
Fractional Lattice Dynamics: Nonlocal constitutive behavior generated by power law matrix functions and their fractional continuum limit kernels
Thomas Michelitsch, Bernard Collet, Alejandro Riascos +2
We introduce positive elastic potentials in the harmonic approximation leading by Hamilton's variational principle to fractional Laplacian matrices having the forms of power law ma…