A fractional generalization of the classical lattice dynamics approach
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DOI: 10.1016/j.chaos.2016.09.009
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References listed on IDEAS
- Michelitsch, T.M. & Collet, B. & Nowakowski, A.F. & Nicolleau, F.C.G.A., 2016. "Lattice fractional Laplacian and its continuum limit kernel on the finite cyclic chain," Chaos, Solitons & Fractals, Elsevier, vol. 82(C), pages 38-47.
- Tarasov, Vasily E., 2015. "Lattice fractional calculus," Applied Mathematics and Computation, Elsevier, vol. 257(C), pages 12-33.
- Laskin, N. & Zaslavsky, G., 2006. "Nonlinear fractional dynamics on a lattice with long range interactions," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 368(1), pages 38-54.
- Vasily E. Tarasov, 2015. "Exact Discrete Analogs of Derivatives of Integer Orders: Differences as Infinite Series," Journal of Mathematics, Hindawi, vol. 2015, pages 1-8, November.
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Cited by:
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- Tarasov, Vasily E., 2023. "Nonlocal statistical mechanics: General fractional Liouville equations and their solutions," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 609(C).
- Vasily E. Tarasov, 2024. "Exact Finite-Difference Calculus: Beyond Set of Entire Functions," Mathematics, MDPI, vol. 12(7), pages 1-37, March.
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Keywords
Fractional lattice models; N-dimensional cubic lattice; Fractional centered difference operators; Fractional lattice dynamics; Fractional difference calculus on lattices; Power law matrix functions; Fractional laplacian continuum limit kernel;All these keywords.
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