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The Application of Fractal Transform and Entropy for Improving Fault Tolerance and Load Balancing in Grid Computing Environments [PDF]
Entropy, 2020 This paper applies the entropy-based fractal indexing scheme that enables the grid environment for fast indexing and querying. It addresses the issue of fault tolerance and load balancing-based fractal management to make computational grids more ...
Murad B. Khorsheed +3 more
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Fractal Laplace transform: analyzing fractal curves
The Journal of Analysis, 2023 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Khalili Golmankhaneh, Alireza +3 more
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Fractal and FractionalThis paper explores the extension of classical transforms to fractal spaces, focusing on the development and application of the Fractal Hankel Transform. We begin with a concise review of fractal calculus to set the theoretical groundwork.
Alireza Khalili Golmankhaneh +3 more
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A Fractal Uncertainty Principle for the Short-Time Fourier Transform and Gabor multipliers [PDF]
Social Science Research Network, 2022 . We study the fractal uncertainty principle in the joint time-frequency representation, and we prove a version for the Short-Time Fourier transform with Gaussian window on the modulation spaces. This can equivalently be formulated in terms of projection
Helge Knutsen
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The Formal Invariance of Fractal Operators Under Laplace Transform [PDF]
Fractal and FractionalThis paper focuses on the invariant properties of fractal operators and aims to achieve the axiomatization of the theory of fractal operators. Building upon the derivative and integral theorems of the Laplace transform, we redefine the time differential ...
Yajun Yin +4 more
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Fractal and Fractional, 2023 In this manuscript, the nonlinear Burgers equations are studied via a fractal fractional (FF) Caputo operator. The results of coupled fixed point theorems in cone metric space are used to discuss the uniqueness of solution to the proposed coupled ...
Souhail Mohammed Bouzgarrou +4 more
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Application of Wavelet Transform and Fractal Analysis for Esophageal pH-Metry to Determine a New Method to Diagnose Gastroesophageal Reflux Disease [PDF]
Applied Sciences, 2022 In this paper, a new method for analysing gastroesophageal reflux disease (GERD) is shown. This novel method uses wavelet transform (WT) and wavelet-based fractal analysis (WBFA) on esophageal pH-metry measurements.
Piotr Mateusz Tojza +5 more
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Sumudu transform in fractal calculus
Applied Mathematics and Computation, 2019 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Alireza K. Golmankhaneh, Cemil Tunç
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Fractal timing of phonemic transforms [PDF]
The Journal of the Acoustical Society of America, 1995 The focus of the present work is the timing pattern of perceptual change elicited by multiple repetitions of a syllable (the verbal transformation effect; Warren and Gregory, 1958). It is shown that the distribution of the dwell time, the time spent perceiving a given phonemic form before switching to another form, obeys a power law with an exponent ...
Betty Tuller +2 more
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Research on concrete structure damage detection based on piezoelectric sensing technology and morphological fractal method [PDF]
Scientific ReportsThis study proposes a concrete piezoelectric sensing detection method based on mathematical morphology and fractal theory, which effectively monitors and quantitatively assesses the dynamic evolution process of damage cracks in concrete structures under ...
Hanqing Zhong, Liwei Shuai, Dongmin Deng
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