Results 221 to 230 of about 225,962 (269)

Generalized fractional integrals

open access: yesGeneralized fractional integrals
openaire  

Fractional Integrals of Fractional Fourier Transform for Integrable Boehmians

Proceedings of the National Academy of Sciences, India Section A: Physical Sciences, 2017
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Singh, Abhishek, Banerji, P. K.
openaire   +1 more source

Interpolational Integral Continued Fractions

Ukrainian Mathematical Journal, 2003
For nonlinear functionals determined in the space of piecewise continuous functions an interpolational integral continued fraction by using continual piecewise continuous knots is constructed. Conditions for the existence and uniqueness of interpolants of this kinds are established.
Makarov, V. L.   +2 more
openaire   +1 more source

What is Fractional Integration? [PDF]

open access: possibleReview of Economics and Statistics, 1999
A simple construction that will be referred to as an error-duration model is shown to generate fractional integration and long memory. An error-duration representation also exists for many familiar ARMA models, making error duration an alternative to autoregression for explaining dynamic persistence in economic variables.
openaire   +1 more source

Fractional integration: A comparative analysis of fractional integrators

Eighth International Multi-Conference on Systems, Signals & Devices, 2011
The fractional integrator is certainly the key operator of fractional calculus, because of its fundamental applications in Fractional Differential Equation simulation and for the definition of fractional initial conditions. Fractional integration is defined by the classical Riemman-Liouville integral, derived from repeated integration. Three approaches
J.-C Trigeassou, A Oustaloup
openaire   +1 more source

Fractional Integrals of Distributions

SIAM Journal on Mathematical Analysis, 1970
Certain operators of fractional integration arising in connection with singular differential operators, Hankel transforms, and dual integral equations involve integration of fractional order with respect to $r^2$ and multiplication of functions by fractional powers of the independent variable. Such operations are not meaningful for distributions.
Erdélyi, Arthur, McBride, A. C.
openaire   +2 more sources

Home - About - Disclaimer - Privacy