Results 11 to 20 of about 55,387 (260)
Fractional statistical dynamics and fractional kinetics [PDF]
, 2016 We apply the subordination principle to construct kinetic fractional statistical dynamics in the continuum in terms of solutions to Vlasov-type hierarchies. As a by-product we obtain the evolution of the density of particles in the fractional kinetics in terms of a non-linear Vlasov-type kinetic equation. As an application we study the intermittency of
da Silva, Jose Luis +2 more
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An application of fractional calculus to dielectric relaxation processes [PDF]
, 2012 Recently fractional calculus has been successfully applied in the description of complex dynamics and proved to be a valuable tool for the solution of non-linear differential equations.
Çavuş M., Bozdemir S.
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Fractional Dynamics in Soccer Leagues [PDF]
Symmetry, 2020 This paper addresses the dynamics of four European soccer teams over the season 2018–2019. The modeling perspective adopts the concepts of fractional calculus and power law. The proposed model embeds implicitly details such as the behavior of players and coaches, strategical and tactical maneuvers during the matches, errors of referees and a multitude ...
António M. Lopes 0001 +1 more
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Dynamical Fractional and Multifractal Fields [PDF]
Journal of Statistical Physics, 2021 Motivated by the modeling of three-dimensional fluid turbulence, we define and study a class of stochastic partial differential equations (SPDEs) that are randomly stirred by a spatially smooth and uncorrelated in time forcing term. To reproduce the fractional, and more specifically multifractal, regularity nature of fully developed turbulence, these ...
Apolinario, Gabriel Brito +2 more
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A class of CTRWs: Compound fractional poisson processes [PDF]
, 2011 This chapter is an attempt to present a mathematical theory of compound fractional Poisson processes. It begins with the characterization of a well-known Lévy process: The compound Poisson process.
Enrico Scalas +4 more
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Analysis of Fractional Dynamic Systems [PDF]
The Scientific World Journal, 2014 Due to the extensive applications of fractional differential equations (FDEs) in engineering and science, research in this area has grown significantly. Fractional Dynamic Systems are described by FDEs, and this special issue consists of 8 original articles covering various aspects of FDEs and their applications written by prominent researchers in the ...
Fawang Liu +4 more
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Fractional dynamics in the Rayleigh’s piston [PDF]
Communications in Nonlinear Science and Numerical Simulation, 2016 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Fractional variational problems depending on indefinite integrals [PDF]
, 2012 We obtain necessary optimality conditions for variational problems with a Lagrangian depending on a Caputo fractional derivative, a fractional and an indefinite integral.
Pooseh, Shakoor +8 more
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Fractional boundary value problems: Analysis and numerical methods [PDF]
, 2011 This is the author's PDF of an article published in Fractional Calculus and Applied Analysis 2011. The original publication is available at www.springerlink.comThis journal article discusses nonlinear boundary value problems.Fundacao para a Ciencia e ...
M. Luísa Morgado +3 more
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