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Electromagnetic field of fractal distribution of charged particles [PDF]
, 2006 Electric and magnetic fields of fractal distribution of charged particles are considered. The fractional integrals are used to describe fractal distribution. The fractional integrals are considered as approximations of integrals on fractals.
Christensen R. M. +5 more
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Fractional Spectral Moments for Digital Simulation of Multivariate Wind Velocity Fields [PDF]
, 2011 In this paper, a method for the digital simulation of wind velocity fields by Fractional Spectral Moment function is proposed. It is shown that by constructing a digital filter whose coefficients are the fractional spectral moments, it is possible to ...
Cottone, Giulio, Di Paola, Mario
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A signal enhancement method based on the reverberation statistical information
EURASIP Journal on Advances in Signal Processing, 2022 This paper proposes a reverberation suppression algorithm utilizing fractional lower-order moments based on statistical properties. As fractional lower-order moments can only be applied on symmetric α-stable random variables, the energy redistribution ...
Ge Yu, Jiangjiang Sun, Xiukun Li
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Demonstratio Mathematica, 2023 Local fractional integral inequalities of Hermite-Hadamard type involving local fractional integral operators with Mittag-Leffler kernel have been previously studied for generalized convexities and preinvexities.
Vivas-Cortez Miguel +3 more
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Fractional moments of Dirichlet L-functions [PDF]
Acta Arithmetica, 2010 Let $k$ be a positive real number, and let $M_k(q)$ be the sum of $|L(\tfrac12, )|^{2k}$ over all non-principal characters to a given modulus $q$. We prove that $M_k(q)\ll_k (q)(\log q)^{k^2}$ whenever $k$ is the reciprocal $n^{-1}$ of a positive integer $n$.
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Mathematics, 2020 Fractional differential equations with impulses arise in modeling real world phenomena where the state changes instantaneously at some moments. Often, these instantaneous changes occur at random moments.
Ravi Agarwal +3 more
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The fractional p-Laplacian emerging from homogenization of the random conductance model with degenerate ergodic weights and unbounded-range jumps [PDF]
, 2018 We study a general class of discrete $p$-Laplace operators in the random conductance model with long-range jumps and ergodic weights. Using a variational formulation of the problem, we show that under the assumption of bounded first moments and a ...
Flegel, Franziska, Heida, Martin
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Caputo Fractional Differential Equations with Non-Instantaneous Random Erlang Distributed Impulses
Fractal and Fractional, 2019 The p-moment exponential stability of non-instantaneous impulsive Caputo fractional differential equations is studied. The impulses occur at random moments and their action continues on finite time intervals with initially given lengths. The time between
Snezhana Hristova, Krasimira Ivanova
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Fractional moments of automorphic $L$-functions [PDF]
St. Petersburg Mathematical Journal, 2011 The Riemann zeta-function is defined by \(\zeta (s) = \sum_{n=1}^{\infty} n^{-s}\) in \(\text{Re}\, s > 1\). For \(T \geq 2\), \textit{D. R. Heath-Brown} [J. Lond. Math. Soc., II. Ser. 24, 65--78 (1981; Zbl 0431.10024)] investigated the behaviour of the integral \[ I_k (T) := \int_{1}^{T} \left | \zeta \left ( \frac {1}{2} + it \right ) \right |^{2k} \,
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The estimate of fractional moments for Dirichlet L-functions
Lietuvos Matematikos Rinkinys, 2004 There is not abstract.
Saulius Zamarys
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