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function of fractional order

См. также в других словарях:

  • Fractional order control — or ( FOC ) is a field of control theory that uses the fractional order integrator as part of the control system design toolkit.The fundamental advantage of FOC is that the fractional order integrator weights history using a function that decays… …   Wikipedia

  • Fractional order integrator — A fractional order integrator or just simply fractional integrator is an integrator device that calculates the fractional order integral or derivative (usually called a differintegral) of an input. Differentiation or integration is a real or… …   Wikipedia

  • Fractional calculus — is a branch of mathematical analysis that studies the possibility of taking real number powers of the differential operator ::D = frac{d}{dx} , and the integration operator J . (Usually J is used in favor of I to avoid confusion with other I like …   Wikipedia

  • Fractional Fourier transform — In mathematics, in the area of harmonic analysis, the fractional Fourier transform (FRFT) is a linear transformation generalizing the Fourier transform. It can be thought of as the Fourier transform to the n th power where n need not be an… …   Wikipedia

  • Fractional-reserve banking — is the banking practice in which banks keep only a fraction of the value of their bank notes and demand deposits in reserve and invest the balance in interest earning assets while maintaining the obligation to redeem all bank notes and demand… …   Wikipedia

  • Fractional vortices — In a standard superconductor, described by a complex field |Psi|e^{iphi} (condensates wave function), vortices carry quantized magnetic field: a consequence of 2pi invariance of the phase phi of the condensate wave function |Psi|e^{iphi}. There a …   Wikipedia

  • Function composition — For function composition in computer science, see function composition (computer science). g ∘ f, the composition of f and g. For example, (g ∘ f)(c) = #. In mathematics, function composition is the application of one function to the resul …   Wikipedia

  • Fractional Brownian motion — A normalized fractional Brownian motion (denoted fBm) B^H(t) on [0,T] , Tin mathbb{R} is a continuous time Gaussian process starting at zero, with mean zero, and having the following correlation function::E [B^H(t) B^H(s)] =frac{1}{2}… …   Wikipedia

  • Order of operations — In mathematics and computer programming, the order of operations (sometimes called operator precedence) is a rule used to clarify unambiguously which procedures should be performed first in a given mathematical expression. For example, in… …   Wikipedia

  • Mittag-Leffler function — In mathematics, the Mittag Leffler function Eα,β is a special function, a complex function which depends on two complex parameters α and β. It may be defined by the following series when the real part of α is strictly positive: In this case, the… …   Wikipedia

  • Meijer G-function — In mathematics, the G function was introduced by Cornelis Simon Meijer (1936) as a very general function intended to include most of the known special functions as particular cases. This was not the only attempt of its kind: the generalized… …   Wikipedia

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