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Numerical Method for Multi-Dimensional Coupled Forward-Backward Stochastic Differential Equations Based on Fractional Fourier Fast Transform [PDF]
Fractal and Fractional, 2023 Forward-backward stochastic differential equations (FBSDEs) have received more and more attention in the past two decades. FBSDEs can be applied to many fields, such as economics and finance, engineering control, population dynamics analysis, and so on ...
Xiaoxiao Zeng +4 more
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Characterization of Pseudo-Differential Operators Associated with the Coupled Fractional Fourier Transform [PDF]
AxiomsThe main aim of this article is to derive certain continuity and boundedness properties of the coupled fractional Fourier transform on Schwartz-like spaces.
Shraban Das +2 more
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Uncertainty principles for coupled fractional Wigner–Ville distribution [PDF]
Royal Society Open ScienceThe coupled fractional Wigner–Ville distribution is a more general version of the fractional Wigner–Ville distribution. Main properties including boundedness, Moyal’s formula and inversion formula are studied in detail for the transformation ...
Andi Tenri Ajeng Nur +3 more
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Real-Time Discrete Fractional Fourier Transform Using Metamaterial Coupled Lines Network [PDF]
IEEE Transactions on Microwave Theory and Techniques, 2023 Discrete Fractional Fourier Transforms (DFrFT) are universal mathematical tools in signal processing, communications and microwave sensing. Despite the excessive applications of DFrFT, implementation of corresponding fractional orders in the baseband signal often leads to bulky, power-hungry, and high-latency systems.
Rasool Keshavarz +2 more
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On the class of uncertainty inequalities for the coupled fractional Fourier transform
Journal of Inequalities and Applications, 2022 The coupled fractional Fourier transform F α , β $\mathcal {F}_{\alpha ,\beta}$ is a two-dimensional fractional Fourier transform depending on two angles α and β, which are coupled in such a way that the transform parameters are γ = ( α + β ) / 2 $\gamma
Firdous A. Shah +3 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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Eco-Friendly Adsorbent from Waste of Mint: Application for the Removal of Hexavalent Chromium [PDF]
Journal of Chemistry, 2021 A serious environmental disaster is looming on the horizon due to the indiscriminate release of heavy metals into the soil and wastewater from human industrial practices.
Fatima Khammour +4 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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Case Studies in Thermal Engineering, 2021 Optimality for operating temperature can improve the reliability of thermodynamics of convection flow of Jeffrey fluid through mathematical techniques; this is because thermal convection is invoked in several engineering problems for knowingan accurate ...
Aziz Ullah Awan +4 more
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Case Studies in Thermal Engineering, 2022 In modern times, diathermal oils have piqued the attraction of various researchers due to their multiple significant industrial applications. The present work aims to investigate the heat transfer performance of a specific diathermal oil called kerosene ...
Asifa +3 more
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