Implementation of quantum and classical discrete fractional Fourier transforms [PDF]
Nature Communications, 2016 Fourier analysis has become a standard tool in contemporary science. Here, Weimann et al. report classical and quantum optical realizations of the discrete fractional Fourier transform, a generalization of the Fourier transform, with potential ...
Steffen Weimann +11 more
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One dimensional fractional frequency Fourier transform by inverse difference operator [PDF]
Advances in Difference Equations, 2019 This article aims to develop fractional order convolution theory to bring forth innovative methods for generating fractional Fourier transforms by having recourse to solutions for fractional difference equations.
Dumitru Baleanu +3 more
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Abelian and Tauberian results for the fractional Fourier cosine (sine) transform
AIMS MathematicsIn this paper, we presented Tauberian type results that intricately link the quasi-asymptotic behavior of both even and odd distributions to the corresponding asymptotic properties of their fractional Fourier cosine and sine transforms.
Snježana Maksimović +4 more
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Space-Time Fractional Reaction-Diffusion Equations Associated with a Generalized Riemann–Liouville Fractional Derivative [PDF]
Axioms, 2014 This paper deals with the investigation of the computational solutions of a unified fractional reaction-diffusion equation, which is obtained from the standard diffusion equation by replacing the time derivative of first order by the generalized Riemann ...
Ram K. Saxena +2 more
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Fractional fourier transforms of hypercomplex signals [PDF]
Signal, Image and Video Processing, 2012 An overview is given to a new approach for obtaining generalized Fourier transforms in the context of hypercomplex analysis (or Clifford analysis). These transforms are applicable to higher-dimensional signals with several components and are different ...
De Bie, Hendrik, De Schepper, Nele
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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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Unsteady two dimensional flow of non-newtönian fractional Casson fluid for an edge with heated boundaries [PDF]
Scientific ReportsThis study explores the transient flow and thermal behavior of incompressible non-Newtonian fluids, with a particular emphasis on Casson and fractional Casson models, which are widely applied in blood flow, lubricants, and polymer processing.
Sohail Nadeem +4 more
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Fractional Fourier transforms of vortex Hermite-cosh-Gaussian beams
Results in Optics, 2021 In this paper, we investigate the propagation properties of a vortex Hermite-cosh-Gaussian beam (vHChGB) passing through a fractional Fourier transform (FRFT) optical system.
E.M. El Halba, Z. Hricha, A. Belafhal
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On the Fractional Derivative Duality in Some Transforms
Mathematics, 2023 Duality is one of the most interesting properties of the Laplace and Fourier transforms associated with the integer-order derivative. Here, we will generalize it for fractional derivatives and extend the results to the Mellin, Z and discrete-time Fourier
Manuel Duarte Ortigueira +1 more
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Convolution, filtering, and multiplexing in fractional Fourier domains and their relation to chirp and wavelet transforms [PDF]
, 1994 Cataloged from PDF version of article.A concise introduction to the concept of fractional Fourier transforms is followed by a discussion of their relation to chirp and wavelet transforms.
Barshan, B. +3 more
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