Exact discretization by Fourier transforms
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Publication:2198873
DOI10.1016/j.cnsns.2016.01.006zbMath1473.42011OpenAlexW2262991546MaRDI QIDQ2198873
Publication date: 15 September 2020
Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.cnsns.2016.01.006
discretizationFourier transforminfinite seriesfinite differencesfractional derivativefractional integralfractional differenceexact discretizationnon-standard differences
Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42B10) Fractional derivatives and integrals (26A33) Numerical methods for discrete and fast Fourier transforms (65T50) Applications of difference equations (39A60)
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Cites Work
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- Three-dimensional lattice models with long-range interactions of Grünwald-Letnikov type for fractional generalization of gradient elasticity
- Discretization of fractional order differentiator over Paley-Wiener space
- Lattice fractional calculus
- What is a fractional derivative?
- Fractional calculus for scientists and engineers.
- Comments on ``Discretization of fractional order differentiator over Paley-Wiener space
- Fractional derivatives for physicists and engineers. Volume I: Background and theory. Volume II: Applications
- An orbit-preserving discretization of the classical Kepler problem
- Recent history of fractional calculus
- Fractional standard map
- Entire functions that share a small function with its derivative
- Riesz potential operators and inverses via fractional centred derivatives
- No violation of the Leibniz rule. No fractional derivative
- Counterexamples on Jumarie's two basic fractional calculus formulae
- On analogies between nonlinear difference and differential equations
- Numerical methods for fractional partial differential equations with Riesz space fractional derivatives
- Nabla discrete fractional calculus and nabla inequalities
- Fractional dynamics. Applications of fractional calculus to dynamics of particles, fields and media
- Exact discretization of Schrödinger equation
- On non-standard finite difference models of reaction-diffusion equations
- Fractional Liouville equation on lattice phase-space
- Discretizations of nonlinear differential equations using explicit nonstandard methods
- On the transcendental solutions of a certain type of nonlinear differential equations
- On chain rule for fractional derivatives
- Exact discrete analogs of derivatives of integer orders: differences as infinite series
- Fractional quantum field theory: from lattice to continuum
- Science metrics on fractional calculus development since 1966
- Entire solutions of certain type of differential equations
- On simulations of the classical harmonic oscillator equation by difference equations
- On the nonexistence of entire solutions of certain type of nonlinear differential equations
- Fractional dynamics of systems with long-range interaction
- On the entire solutions of certain class of non-linear differential equations
- Zeros of polynomials and fractional differences of their coefficients
- Comments on ``The Minkowski's space-time is consistent with differential geometry of fractional order
- L'intégrale de Riemann-Liouville et le problème de Cauchy
- On entire solutions of a certain type of nonlinear differential equation
- Fractional Maps and Fractional Attractors. Part II: Fractional Difference Caputo α- Families of Maps
- REVIEW OF SOME PROMISING FRACTIONAL PHYSICAL MODELS
- Toward lattice fractional vector calculus
- On the exact discretization of the classical harmonic oscillator equation
- Fractional Central Differences and Derivatives
- Universal fractional map and cascade of bifurcations type attractors
- A note on the exact discretization for a Cauchy–Euler equation: application to the Black–Scholes equation
- On Differences of Fractional Order
- Large lattice fractional Fokker–Planck equation
- Continuous limit of discrete systems with long-range interaction
- Map of discrete system into continuous
- Fractional-order difference equations for physical lattices and some applications
- Fractional dynamics of coupled oscillators with long-range interaction
- Fractional equations of kicked systems and discrete maps
- Discrete map with memory from fractional differential equation of arbitrary positive order
- The fundamental solution and numerical solution of the Riesz fractional advection-dispersion equation
- Initial value problems in discrete fractional calculus
- Differential equations with fractional derivative and universal map with memory
- Ordinary and partial difference equations
- On the fractional Eulerian numbers and equivalence of maps with long term power-law memory (integral Volterra equations of the second kind) to Grünvald-Letnikov fractional difference (differential) equations
- Differences of Fractional Order
- Fractional Kinetics in Solids
- FINITE DIFFERENCE METHODS FOR FRACTIONAL DIFFERENTIAL EQUATIONS
- HOW TO APPROXIMATE THE FRACTIONAL DERIVATIVE OF ORDER 1 < α ≤ 2
- Numerical Methods for the Fractional Laplacian: A Finite Difference-Quadrature Approach
- Fractional dissipative standard map
- Advances in Fractional Calculus
- Basic Theory of Fractional Differential Equations
- Fractional Maps and Fractional Attractors. Part I: α-Families of Maps
- Advances in the Applications of Nonstandard Finite Difference Schemes
- Fractional Calculus with Applications in Mechanics
- Differential and Difference Equations
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