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Fractional cosine and sine transforms in relation to the fractional Fourier and Hartley transforms [PDF]
, 2003 The fractional cosine and sine transforms - closely related to the fractional Fourier transform, which is now actively used in optics and signal processing, and to the fractional Hartley transform - are introduced and their main properties and possible ...
T. Alieva +5 more
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Study on the Mainardi beam through the fractional Fourier transforms system [PDF]
Компьютерная оптика, 2018 In this paper, we introduced the Mainardi beam and indicated its attributes under the Fractional Fourier transform for power variations of Fractional Fourier transform.
Forouzan Habibi +2 more
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The Fractional Fourier Transform and Harmonic Oscillation [PDF]
Nonlinear Dynamics, 2002 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Kutay M.A., Ozaktas H.M.
openaire +5 more sources
The Periodogram of fractional processes [PDF]
, 2007 We analyse asymptotic properties of the discrete Fourier transform and the periodogram of time series obtained through (truncated) linear filtering of stationary processes.
Velasco Gómez, Carlos +2 more
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Mode analysis in optics through fractional transforms [PDF]
, 1999 The relationship between the mode content and the fractional Fourier and fractional Hankel transforms of a function is established. It is shown that the Laguerre-Gauss spectrum of a rotationally symmetric wavefront can be determined from its fractional ...
Alieva Krasheninnikova, Tatiana +3 more
core +2 more sources
Abstract and Applied Analysis, 2013 The mappings for some special functions on Cantor sets are investigated. Meanwhile, we apply the local fractional Fourier series, Fourier transforms, and Laplace transforms to solve three local fractional differential equations, and the corresponding ...
Yang Zhao +4 more
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Fourier transforming a trapped Bose-Einstein condensate by waiting a quarter of the trap period: simulation and applications [PDF]
, 2006 We investigate the property of isotropic harmonic traps to Fourier transform a weakly interacting Bose–Einstein condensate (BEC) every quarter of a trap period.
Ohberg, Patrik; id_orcid +5 more
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Alexandria Engineering Journal, 2019 De-Levie’s model has become an indispensable model for knowing a porous electrode because electrochemical supercapacitors provide electrical energy storage and they use nanoporous electrodes to store large amounts of charge.
Kashif Ali Abro +3 more
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A Note on Function Spaces with Fractional Fourier Transforms in Wiener-type Spaces
Düzce Üniversitesi Bilim ve Teknoloji Dergisi, 2023 The purpose of this paper is to introduce and study a function space A_(α,w)^(B,Y) (R^d ) to be a linear space of functions h∈L_w^1 (R^d ) whose fractional Fourier transforms F_α h belong to the Wiener-type space W(B,Y)(R^d ), where w is a Beurling ...
Erdem Toksoy
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Fractional Equations for the Scaling Limits of Lévy Walks with Position-Dependent Jump Distributions
Mathematics, 2023 Lévy walks represent important modeling tools for a variety of real-life processes. Their natural scaling limits are known to be described by the so-called material fractional derivatives.
Vassili N. Kolokoltsov
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