Fractional-order difference equations for physical lattices and some applications

DOI10.1063/1.4933028zbMath1334.35400OpenAlexW1838696124MaRDI QIDQ3450565

Vasily E. Tarasov

Publication date: 6 November 2015

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

Full work available at URL: https://semanticscholar.org/paper/0fea42b31a200ba4a3ac04b7368ccbfdcd9545e2

zbMATH Keywords

fractional-order operatorfractional nonlocal Maxwell equationfractional nonlocal Navier-Stokes equationGrünwald-Letnikov fractional differences

Mathematics Subject Classification ID

Statistical mechanics of crystals (82D25) Fractional derivatives and integrals (26A33) Continuum limits in quantum field theory (81T27) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Fractional partial differential equations (35R11) Numerical methods for difference equations (65Q10)

Related Items (17)

Maximal regularity in \(l_{p}\) spaces for discrete time fractional shifted equations ⋮ United lattice fractional integro-differentiation ⋮ Hölder-Lebesgue regularity and almost periodicity for semidiscrete equations with a fractional Laplacian ⋮ Grünwald-Letnikov fractional operators: from past to present ⋮ Chaotic vibration, bifurcation, stabilization and synchronization control for fractional discrete-time systems ⋮ Partial fractional derivatives of Riesz type and nonlinear fractional differential equations ⋮ Existence and uniqueness of solutions for a class of discrete-time fractional equations of order \(2<\alpha \leq 3\) ⋮ Well-posedness for fractional Cauchy problems involving discrete convolution operators ⋮ A certain class of fractional difference equations with damping: oscillatory properties ⋮ Exact discretization by Fourier transforms ⋮ Lebesgue regularity for nonlocal time-discrete equations with delays ⋮ Lattice Dynamical Systems Associated with a Fractional Laplacian ⋮ Existence of weighted bounded solutions for nonlinear discrete-time fractional equations ⋮ Well posedness for semidiscrete fractional Cauchy problems with finite delay ⋮ The Cauchy problem for discrete time fractional evolution equations ⋮ Nonlocal quantum system with fractal distribution of states ⋮ On the nonoscillatory behavior of solutions of three classes of fractional difference equations

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