Results 31 to 40 of about 2,774 (297)
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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Fractional cosine and sine transforms [PDF]
, 2002 The fractional cosine and sine transforms - closely related to the fractional Fourier transform, which is now actively used in optics and signal processing - are introduced and their main properties and possible applications are ...
Bastiaans, M.J. +5 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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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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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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Octonion Special Affine Fourier Transform: Pitt’s Inequality and the Uncertainty Principles
Fractal and Fractional, 2023 The special affine Fourier transform (SAFT) is an extended version of the classical Fourier transform and incorporates various signal processing tools which include the Fourier transforms, the fractional Fourier transform, the linear canonical transform,
Mohammad Younus Bhat +3 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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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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Influence of MHD on Some Oscillating Motions of a Fractional Burgers' Fluid
مجلة بغداد للعلوم, 2015 This paper presents a study for the influence of magnetohydrodynamic (MHD) on the oscillating flows of fractional Burgers’ fluid. The fractional calculus approach in the constitutive relationship model is introduced and a fractional Burgers’ model is ...
Baghdad Science Journal
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Alexandria Engineering Journal, 2021 In this communication we have studied well known physical process of two-dimensional advection–diffusion phenomena. The advection–diffusion equation is time-fractionalized by exploiting Atangana-Baleanu fractional derivative operator.
Itrat Abbas Mirza +4 more
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