Results 51 to 60 of about 2,662 (145)
Galerkin Finite Element Method for Caputo–Hadamard Time-Space Fractional Diffusion Equation
MathematicsIn this paper, we study the Caputo–Hadamard time-space fractional diffusion equation, where the Caputo derivative is defined in the temporal direction and the Hadamard derivative is defined in the spatial direction separately.
Zhengang Zhao, Yunying Zheng
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IEEE AccessFetal heart sounds is measured to follow the developing status of fetus. The used database of fetal heart sounds is obtained from Physionet challenge. In this paper, novel models are created to extract features from fetal heart sounds; to identify the ...
Mohamed Moustafa Azmy
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On Some Multipliers Related to Discrete Fractional Integrals
MathematicsThis paper explores the properties of multipliers associated with discrete analogues of fractional integrals, revealing intriguing connections with Dirichlet characters, Euler’s identity, and Dedekind zeta functions of quadratic imaginary fields ...
Jinhua Cheng
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On single-step HSS iterative method with circulant preconditioner for fractional diffusion equations
Advances in Difference Equations, 2019 By exploiting Toeplitz-like structure and non-Hermitian dense property of the discrete coefficient matrix, a new double-layer iterative method called SHSS-PCG method is employed to solve the linear systems originating from the implicit finite difference ...
Mu-Zheng Zhu, Guo-Feng Zhang, Ya-E Qi
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The discrete fractional Fourier transform and Harper's equation [PDF]
Mathematika, 2000 The fractional Fourier transform [\textit{V. Namias}, ``The fractional order Fourier transform and its application to quantum mechanics'', J. Inst. Math. Appl. 25, 241-265 (1980; Zbl 0434.42014)] is referred to as a widely used tool in signal processing, optics and quantum mechanics. Its discrete version was given in [\textit{S.-C.
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An Efficient Hamiltonian For Discrete Fractional Fourier Transform
, 2008 {"references": ["S. C. Pei and M. H. Yeh, \"Improved discrete fractional Fourier\ntransform,\" Optics Letters, vol. 22, pp. 1047-1049, July 15 1997.", "Ahmed I. Zayed, \"Relationship between the Fourier and Fractional\nFourier Transforms\", IEEE Signal Processing Letters, vol. 3, no. 12,\nDecember 1996.", "C. Candan, M.A. Kutay, H.M.
Sukrit Shankar +3 more
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Review of Computing Algorithms for Discrete Fractional Fourier Transform
Research Journal of Applied Sciences, Engineering and Technology, 2013 Discrete Fractional Fourier Transform (DFRFT) has received lots of attention in last two decades because of its superior benefits and wide applications in various fields. In this study we present a comparative analysis of the most famous algorithms for the computation of DFRFT.
Muhammad Irfan +2 more
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Discrete Fourier Transforms of Fractional Processes with Econometric Applications*
, 2023 The discrete Fourier transform (dft) of a fractional process is studied. An exact representation of the dft is given in terms of the component data, leading to the frequency domain form of the model for a fractional process. This representation is particularly useful in analyzing the asymptotic behavior of the dft and periodogram in the nonstationary ...
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Discover Applied SciencesCardiovascular diseases (CVD) are the most common cause of death. Electrocardiography (ECG) is a preferred non-invasive method for detecting heart diseases. Atrial fibrillation (AF) is a common cardiac disease.
Mohamed Moustafa Azmy
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