mathematical analysis, the differintegral is a combined differentiation/integration operator. Applied to a function ƒ, the q-differintegral of f, here denoted...
11 KB (1,553 words) - 19:17, 4 May 2024
calculates the fractional-order integral or derivative (usually called a differintegral) of an input. Differentiation or integration is a real or complex parameter...
4 KB (627 words) - 01:18, 24 May 2025
Initialized fractional calculus (redirect from Initialization of differintegrals)
In mathematical analysis, initialization of the differintegrals is a topic in fractional calculus, a branch of mathematics dealing with derivatives of...
2 KB (378 words) - 00:10, 13 September 2024
Riemann–Liouville integral (redirect from Riemann-Liouville differintegral)
-\alpha }f} where ⌈ · ⌉ denotes the ceiling function. One also obtains a differintegral interpolating between differentiation and integration by defining D...
16 KB (2,632 words) - 06:10, 14 March 2025
Grünwald–Letnikov derivative (redirect from Grunwald-Letnikov differintegral)
In mathematics, the Grünwald–Letnikov derivative is a basic extension of the derivative in fractional calculus that allows one to take the derivative a...
3 KB (715 words) - 06:09, 12 December 2024
methods to implement a numerical calculation of fractional differintegrals. Yet differintegrals are faster to compute in discrete fourier space using FFT...
6 KB (697 words) - 19:40, 27 October 2022
Weyl integral (redirect from Weyl differintegral)
In mathematics, the Weyl integral (named after Hermann Weyl) is an operator defined, as an example of fractional calculus, on functions f on the unit circle...
1 KB (185 words) - 10:55, 23 October 2022
methodologies that uses fractional-order operator properties.[citation needed] Differintegral Fractional calculus Fractional-order system Dr. YangQuan Chen's latest...
3 KB (420 words) - 09:19, 1 December 2024
analysis of the Inverse Laplace transform, using the Grunwald–Letnikov differintegral to evaluate the derivatives. Post's inversion has attracted interest...
8 KB (1,049 words) - 23:57, 25 January 2025
kernel Gibbs phenomenon Parseval's identity Parseval's theorem Weyl differintegral Generalized Fourier series Orthogonal functions Orthogonal polynomials...
3 KB (202 words) - 12:10, 30 October 2023
In fractional calculus, these formulae can be used to construct a differintegral, allowing one to differentiate or integrate a fractional number of times...
5 KB (985 words) - 03:07, 20 April 2025
filter or similar. Fractional calculus — fractional differentiation Differintegral — fractional integration and differentiation Fractional Brownian motion...
9 KB (1,257 words) - 08:12, 24 May 2025
\end{aligned}}} This relationship is called the semigroup property of fractional differintegral operators. The classical form of fractional calculus is given by the...
59 KB (7,991 words) - 01:56, 28 May 2025
The −1 order derivative corresponds to the integral, whence the term differintegral. In quaternionic analysis, derivatives can be defined in a similar way...
23 KB (3,560 words) - 00:36, 17 February 2025
Adams–Bashforth method or quadrature methods. Acoustic attenuation Differintegral Fractional calculus Fractional order control Fractional order integrator...
11 KB (1,485 words) - 05:58, 23 May 2025