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Characterization of Pseudo-Differential Operators Associated with the Coupled Fractional Fourier Transform

Axioms
The 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, Kanailal Mahato, Ahmed I. Zayed   +2 more
doaj   +6 more sources

Numerical Method for Multi-Dimensional Coupled Forward-Backward Stochastic Differential Equations Based on Fractional Fourier Fast Transform

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, Kexin Fu, Xiaofei Li, Junjie Du, Weiran Fan   +4 more
doaj   +6 more sources

Real-Time Discrete Fractional Fourier Transform Using Metamaterial Coupled Lines Network

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, Negin Shariati, Mohammad-Ali Miri   +2 more
exaly   +5 more sources

Uncertainty principles for coupled fractional Wigner–Ville distribution [PDF]

Royal Society Open Science
The 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, Mawardi Bahri, Nasrullah Bachtiar, Amran Rahim   +3 more
doaj   +4 more sources

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, Waseem Z. Lone, Kottakkaran Sooppy Nisar, Thabet Abdeljawad   +3 more
doaj   +3 more sources

Two-Dimensional Discrete Coupled Fractional Fourier Transform (DCFrFT)

Fractal and Fractional
The 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, Zeinab S. I. Mansour, Ahmed Zayed   +2 more
doaj   +3 more sources

Convolution and Correlation Forms for the Offset Coupled Fractional Fourier Transform

Jurnal MSA ( Matematika dan Statistika serta Aplikasinya)
This work presents convolution and correlation in  offset coupled fractional Fourier transform. The offset coupled fractional Fourier transform can be regarded as a generalized version of the coupled fractional Fourier transform. Various properties including this work like inversion formula and Parseval are studied in general and in detail for the ...
null Nasrullah, null Wahyuni Ekasasmita, null Nurwahidah   +2 more
core   +4 more sources

Hydromagnetic free convection flow of viscous fluid between vertical parallel plates with damped thermal and mass fluxes

Alexandria Engineering Journal, 2019
In this article, hydromagnetic free convection flow of viscous fluid between two vertical plates is considered. The Caputo time-fractional derivative is used and the governing equations are fractionalized by means of generalized Fourier’s and Fick’s laws.
Zehui Shao, Nehad Ali Shah, Iskander Tlili, Usman Afzal, M. Saqib Khan   +4 more
doaj   +2 more sources

Eco-Friendly Adsorbent from Waste of Mint: Application for the Removal of Hexavalent Chromium

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, Fatouma Mohamed Abdoul-Latif, Ayoub Ainane, Jalludin Mohamed, Tarik Ainane   +4 more
doaj   +2 more sources

Switching oscillation-based fractional-domain high-sensitive diagnosis of machine turn insulation degradation

Engineering Science and Technology, an International Journal
Stator turn insulation degradation is a significant cause of failure in electric machines fed by high-frequency switching power electronic devices, making early-stage detection challenging due to weak fault characteristic signatures.
Muhammad Usman Sardar, Toomas Vaimann, Lauri Kütt, Bilal Asad, Ants Kallaste   +4 more
doaj   +2 more sources