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fractional integration

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  • 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 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 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

  • Monte Carlo integration — An illustration of Monte Carlo integration. In this example, the domain D is the inner circle and the domain E is the square. Because the square s area can be easily calculated, the area of the circle can be estimated by the ratio (0.8) of the… …   Wikipedia

  • Cauchy formula for repeated integration — The Cauchy formula for repeated integration allows one to compress n antidifferentiations of a function into a single integral.calar caseLet f be a continuous function on the real line. Then the n^{th} antidifferentiation of f,:f^{ [n] }(x) = int …   Wikipedia

  • Formule de Cauchy pour l'intégration successive — La formule de Cauchy pour l intégration successive, énoncée par Augustin Louis Cauchy, permet de condenser n intégrations en une seule. Elle est notamment utilisée en analyse fractionnaire. Sommaire 1 Cas scalaire 2 Référence 3 Voir aussi …   Wikipédia en Français

  • Differintegral — In fractional calculus, an area of applied mathematics, the differintegral is a combined differentiation/integration operator. Applied to a function ƒ, the q differintegral of f, here denoted by is the fractional derivative (if q>0) or… …   Wikipedia

  • Cálculo fraccional — Saltar a navegación, búsqueda En matemáticas, el cálculo fraccional es una rama del análisis matemático que estudia la posibilidad de tomar potencias reales del operador diferencial y el operador integral J. (Usualmente no I, para evitar… …   Wikipedia Español

  • 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

  • Clive Granger — Clive W. J. Granger Keynesian economics Born September 4, 1934(1934 09 04) Swanse …   Wikipedia

  • Дифферинтеграл Римана-Лиувилля — В математике, дифферинтеграл Римана Лиувилля отображает вещественную функцию ƒ : R → R в другую функцию Iαƒ того же типа для каждого значения параметра α > 0. Данный дифферинтеграл является обобщением повторной… …   Википедия

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