Results 11 to 20 of about 1,039,370 (289)

Occupancy fraction, fractional colouring, and triangle fraction [PDF]

open access: yesJournal of Graph Theory, 2021
13 ...
Davies, Ewan   +3 more
openaire   +4 more sources

Fractional Hypocoercivity [PDF]

open access: yesCommunications in Mathematical Physics, 2022
This paper is devoted to kinetic equations without confinement. We investigate the large time behaviour induced by collision operators with fat tailed local equilibria. Such operators have an anomalous diffusion limit. In the appropriate scaling, the macroscopic equation involves a fractional diffusion operator so that the optimal decay rate is ...
Bouin, Emeric   +2 more
openaire   +3 more sources

Fractional free space, fractional lenses, and fractional imaging systems [PDF]

open access: yesJournal of the Optical Society of America A, 2003
Continuum extensions of common dual pairs of operators are presented and consolidated, based on the fractional Fourier transform. In particular, the fractional chirp multiplication, fractional chirp convolution, and fractional scaling operators are defined and expressed in terms of their common nonfractional special cases, revealing precisely how they ...
Sümbül, U., Ozaktas, H., M.
openaire   +3 more sources

Fractional coalescent [PDF]

open access: yesProceedings of the National Academy of Sciences, 2019
An approach to the coalescent, the fractional coalescent ( f -coalescent), is introduced. The derivation is based on the discrete-time Cannings population model in which the variance of the number of ...
Mashayekhi, Somayeh, Beerli, Peter
openaire   +2 more sources

The pointwise completeness and the pointwise degeneracy of fractional descriptor discrete-time linear systems [PDF]

open access: yesBulletin of the Polish Academy of Sciences: Technical Sciences, 2019
The Drazin inverse of matrices is applied to analysis of the pointwise completeness and of the pointwise degeneracy of the fractional descriptor linear discrete-time systems.
T. Kaczorek
doaj   +1 more source

A fractional spline collocation method for the fractional order logistic equation [PDF]

open access: yes, 2017
We construct a collocation method based on the fractional B-splines to solve a nonlinear differential problem that involves fractional derivative, i.e. the fractional order logistic equation.
Pezza, L., Pitolli, F.
core   +1 more source

A Novel Vieta–Fibonacci Projection Method for Solving a System of Fractional Integrodifferential Equations

open access: yesMathematics, 2023
In this paper, a new approach for numerically solving the system of fractional integrodifferential equations is devised. To approximate the issue, we employ Vieta–Fibonacci polynomials as basis functions and derive the projection method for Caputo ...
Abdelkader Moumen   +2 more
doaj   +1 more source

FRACTIONAL SUPERSYMMETRY [PDF]

open access: yesModern Physics Letters A, 1995
A symmetry between bosonic coordinates and some Grassmannian-type coordinates is presented. Commuting two of these Grassmannian-type variables results in an arbitrary phase factor (not just a minus sign). This symmetry is also realized at the level of the field theory.
openaire   +2 more sources

Gauge invariance in fractional field theories [PDF]

open access: yes, 2008
The principle of local gauge invariance is applied to fractional wave equations and the interaction term is determined up to order $o(\bar{g})$ in the coupling constant $\bar{g}$.
Abers   +28 more
core   +1 more source

Experimental realization of the analogy of quantum dense coding in classical optics

open access: yesAIP Advances, 2016
We report on the experimental realization of the analogy of quantum dense coding in classical optical communication using classical optical correlations.
Zhenwei Yang   +5 more
doaj   +1 more source

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