Results 31 to 40 of about 53,428 (260)
Fractional statistical dynamics and fractional kinetics
, 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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Fractional-time quantum dynamics [PDF]
Physical Review E, 2009 Application of the fractional calculus to quantum processes is presented. In particular, the quantum dynamics is considered in the framework of the fractional time Schrödinger equation (SE), which differs from the standard SE by the fractional time derivative: $\frac{\prt}{\prt t}\to \frac{\prt^α}{\prt t^α}$. It is shown that for $α=1/2$ the fractional
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Fractal Properties of the Magnetic Polarity Scale in the Stochastic Hereditary αω-Dynamo Model
Fractal and Fractional, 2022 We study some fractal properties of the hereditary αω-dynamo model in the two-mode approximation. The phase variables of the model describe the temporal dynamics of the toroidal and poloidal components of the magnetic field.
Gleb Vodinchar , Lyubov Feshchenko
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FRACTIONAL DYNAMICS IN GENETIC ALGORITHMS [PDF]
IFAC Proceedings Volumes, 2006 Abstract This paper investigate the fractional-order dynamics during the evolution of a Genetic Algorithm (GA). In order to study the phenomena involved in the GA population evolution, the mutation is exposed to excitation perturbations during some generationsand the corresponding fitness variations are evaluated.
Pires, E. J. Solteiro +2 more
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, 2015 The book is devoted to recent developments in the theory of fractional calculus and its applications. Particular attention is paid to the applicability of this currently popular research field in various branches of pure and applied mathematics. In particular, the book focuses on the more recent results in mathematical physics, engineering applications,
Srivastava, Hari M. +2 more
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Dynamics with low-level fractionality [PDF]
Physica A: Statistical Mechanics and its Applications, 2006 LaTeX, 24 pages, to be published in Physica ...
Tarasov, Vasily E., Zaslavsky, George M.
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Anomalous Diffusion and Non-Markovian Reaction of Particles near an Adsorbing Colloidal Particle
FluidsWe investigate the diffusion phenomenon of particles in the vicinity of a spherical colloidal particle where particles may be adsorbed/desorbed and react on the surface of the colloidal particle.
Derik W. Gryczak +6 more
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Fractal and Fractional, 2023 We analyze an extension of the dual-phase lag model of thermal diffusion theory to accurately predict the contribution of thermoelastic bending (TE) to the Photoacoustic (PA) signal in a transmission configuration.
Aloisi Somer +4 more
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General Fractional Calculus: Multi-Kernel Approach
Mathematics, 2021 For the first time, a general fractional calculus of arbitrary order was proposed by Yuri Luchko in 2021. In Luchko works, the proposed approaches to formulate this calculus are based either on the power of one Sonin kernel or the convolution of one ...
Vasily E. Tarasov
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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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