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derivative of fractional order

См. также в других словарях:

  • 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

  • Derivative (generalizations) — Derivative is a fundamental construction of differential calculus and admits many possible generalizations within the fields of mathematical analysis, combinatorics, algebra, and geometry. Derivatives in analysis In real, complex, and functional… …   Wikipedia

  • Fractional reserve banking — Banking A series on Financial services …   Wikipedia

  • Generalizations of the derivative — The derivative is a fundamental construction of differential calculus and admits many possible generalizations within the fields of mathematical analysis, combinatorics, algebra, and geometry. Contents 1 Derivatives in analysis 1.1 Multivariable… …   Wikipedia

  • Schwarzian derivative — In mathematics, the Schwarzian derivative is a certain operator that is invariant under all linear fractional transformations. Thus, it occurs in the theory of the complex projective line, and in particular, in the theory of modular forms and… …   Wikipedia

  • Sobolev space — In mathematics, a Sobolev space is a vector space of functions equipped with a norm that is a combination of Lp norms of the function itself as well as its derivatives up to a given order. The derivatives are understood in a suitable weak sense… …   Wikipedia

  • 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

  • List of mathematics articles (F) — NOTOC F F₄ F algebra F coalgebra F distribution F divergence Fσ set F space F test F theory F. and M. Riesz theorem F1 Score Faà di Bruno s formula Face (geometry) Face configuration Face diagonal Facet (mathematics) Facetting… …   Wikipedia

  • Riemann–Liouville differintegral — In mathematics, the combined differentiation/integration operator used in fractional calculus is called the differintegral , and it has a few different forms which are all equivalent, provided that they are initialized (used) properly.It is noted …   Wikipedia

  • PID controller — A block diagram of a PID controller A proportional–integral–derivative controller (PID controller) is a generic control loop feedback mechanism (controller) widely used in industrial control systems – a PID is the most commonly used feedback… …   Wikipedia

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