Results 51 to 60 of about 2,538,078 (99)

Generalized fractional operators do not preserve periodicity

open access: yes
This work allows proving that the action of fractional derivatives and fractional integrals on periodic functions does not preserve the periodicity of any period.
Garrappa R.   +3 more
core   +1 more source

Binary granular gas mixtures: Theory, layering effects and some open questions

open access: yes, 2009
A theory of dilute binary granular gas mixtures comprising smooth spheres, which is formally valid for all physical values of the pertinent coefficients of restitution, is presented. Constitutive relations are obtained using the Chapman Enskog procedure,
S.H. Noskowicz   +3 more
core   +1 more source

Chapman-Enskog solutions to arbitrary order in sonine polynomials

open access: yes, 2008
The Chapman-Enskog solutions of the Boltzmann equations provide a basis for the computation of important transport coefficients for simple gases and gas mixtures.
Tipton, Earl Lynn
core  

On the fractional-in-time Keller-Segel model via Sonine kernels

open access: yes
In this paper, we study the existence and asymptotic behavior to a diffusion system which is non-local in time. As consequence of our theorems we deduce new results for the fractional-in-time Keller-Segel model.
Costa, Masterson   +3 more
core  

Exact solution of the non-linear Boltzmann equation for Maxwell models

open access: yes, 1979
The exact solution of the Boltzmann equation, obtained recently for Maxwell molecules, holds for various models with arbitrary dimensionality. Furthermore, simple non-linear equations are derived for the ordinary and the Sonine moments, which can be ...
Ernst, M.H.
core  

A Dimensional Clarification and a Missing Moment Condition in Anomalous Diffusion Models with Sonin Kernels

open access: yes
This technical comment examines two points in Section 4 of Alkandari, Loutchko and Luchko, Anomalous Diffusion Models Involving Regularized General Fractional Derivatives with Sonin Kernels (Fractal and Fractional 9 (2025), 363; DOI: 10.3390/fractalfract9060363). For the equation on R^n, the total mean-squared displacement is 2n times the time integral
openaire   +1 more source

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