Articles with "coupled fractional" as a keyword



Uncertainty principles for windowed coupled fractional Fourier transform

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Published in 2024 at "Mathematical Methods in the Applied Sciences"

DOI: 10.1002/mma.9980

Abstract: The windowed coupled fractional Fourier transform was recently proposed in the literature. It may be considered as a generalized version of the windowed fractional Fourier transform. In this study, we first present various basic properties… read more here.

Keywords: fractional fourier; coupled fractional; fourier transform; windowed coupled ... See more keywords

Time delay effects on collective resonant behaviors in two coupled fractional oscillators with mass fluctuations

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Published in 2025 at "Scientific Reports"

DOI: 10.1038/s41598-025-86080-1

Abstract: In this study, we introduce a coupled fractional system consisting of two fluctuating-mass oscillators with time delay and investigate their collective resonant behaviors. First, we achieve complete synchronization between the average behaviors of these oscillators.… read more here.

Keywords: resonant behaviors; time; coupled fractional; collective resonant ... See more keywords

Boundedness of pseudo-differential operators via coupled fractional Fourier transform

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Published in 2024 at "Applicable Analysis"

DOI: 10.1080/00036811.2024.2378209

Abstract: ABSTRACT In this article, we obtained some fruitful results of the coupled fractional Fourier transform and its kernel. We defined pseudo-differential operators related to coupled fractional Fourier transform on Schwartz spaces and it is shown… read more here.

Keywords: fractional fourier; coupled fractional; fourier transform; pseudo differential ... See more keywords

Extraction of optical wave structures to the coupled fractional system in magneto-optic waveguides

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Published in 2024 at "Arab Journal of Basic and Applied Sciences"

DOI: 10.1080/25765299.2024.2337469

Abstract: Abstract In this article, truncated M-fractional coupled nonlinear Schrodinger equation (NLSE) with quadratic–cubic nonlinearity is under observation. The studied model is composed of chromatic dispersion, magneto-optic parameter and inter-modal dispersion. The NLSE is the most… read more here.

Keywords: extraction optical; coupled fractional; structures coupled; wave structures ... See more keywords

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

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Published in 2024 at "Axioms"

DOI: 10.3390/axioms13050296

Abstract: The main aim of this article is to derive certain continuity and boundedness properties of the coupled fractional Fourier transform on Schwartz-like spaces. We extend the domain of the coupled fractional Fourier transform to the… read more here.

Keywords: fractional fourier; coupled fractional; fourier transform; pseudo differential ... See more keywords