Toward lattice fractional vector calculus

DOI10.1088/1751-8113/47/35/355204zbMath1308.26011OpenAlexW2128750599MaRDI QIDQ2921140

Vasily E. Tarasov

Publication date: 30 September 2014

Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/1338e073c73f891036b23b88b2f0fb072cbac01b

zbMATH Keywords

Maxwell equationslong-range interactionsfractional calculuslattice modelgradient elasticityvector calculus

Mathematics Subject Classification ID

Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42B10) Fractional derivatives and integrals (26A33) Equilibrium statistical mechanics (82B99) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Continuum models (systems of particles, etc.) arising in equilibrium statistical mechanics (82B21) Rate of convergence, degree of approximation (41A25) Difference equations (39A99) Inner product spaces and their generalizations, Hilbert spaces (46C99)

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