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Mathematics, 2020 The present work is aimed at studying the effect of fractional order and thermal relaxation time on an unbounded fiber-reinforced medium. In the context of generalized thermoelasticity theory, the fractional time derivative and the thermal relaxation ...
Samah Horrigue, Ibrahim A. Abbas
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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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Relationships among ray optical, Gaussian beam, and fractional Fourier transform descriptions of first-order optical systems [PDF]
, 1997 Cataloged from PDF version of article.Although wave optics is the standard method of analyzing systems composed of a sequence of lenses separated by arbitrary distances, it is often easier and more intuitive to ascertain the function and properties of ...
Erden, M. F., Ozaktas, H. M.
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Peak to average power ratio reduction in NC–OFDM systems [PDF]
, 2015 Non contiguous orthogonal frequency division multiplexing (NC-OFDM) is an efficient and adaptable multicarrier modulation scheme to be used in cognitive radio communications.
Ghafoor, Abdul +2 more
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A transition integral transform obtained from generalization of the Fourier transform
Ain Shams Engineering Journal, 2019 We introduce a generalized integral transform (GIT) whose integration path lies on the complex plane. The GIT has both bilateral and unilateral versions, and generalizes a set of known integral transforms, e.g. Fourier, Laplace, allowing to solve integro-
Rafael G. González-Acuña +1 more
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Alexandria Engineering Journal, 2023 The extended thermoelastic theory with fractional derivative is described in this article to estimate temperature variation, displacement components, and stress components in two-dimensional orthotropic materials.
Aatef Hobiny, Ibrahim A. Abbas
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Application of Fractional Fourier Transform for Prediction of Ball Mill Loads Using Acoustic Signals
IEEE Access, 2019 In cement plant and power plant, ball mills remain in current and widespread use. The load parameter inside a ball mill directly impacts the stability of the production process, the grinding production rate, and the quality of the product in the grinding
Jianquan Shi, Gangquan Si, Yanbin Zhang
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Fractional Fourier transforms and their optical implementation: I [PDF]
, 1993 Cataloged from PDF version of article.Fourier transforms of fractional order a are defined in a manner such that the common Fourier transform is a special case with order a = 1.
Mendlovic, D., Ozaktas, H. M.
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Two-Dimensional Discrete Coupled Fractional Fourier Transform (DCFrFT)
Fractal and FractionalThe fractional Fourier transform is critical in signal processing and supports many applications. Signal processing is one notable application. Implementing the fractional Fourier transform requires discrete versions.
Asma Elshamy +2 more
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Photonics, 2019 The Collins diffraction transform (CDT) describes the optical wave diffraction from the generic paraxial optical system. The CDT has as special cases the diffraction domains given by the Fourier, Fresnel and fractional Fourier transforms.
Juan M. Vilardy O. +2 more
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