Results 11 to 20 of about 1,065,619 (287)

Drift phase resolved diffusive radiation belt model: 2. implementation in a case of random electric potential fluctuations

Frontiers in Astronomy and Space Sciences, 2023
In the first part of this work, we highlighted a drift-diffusion equation capable of resolving the magnetic local time dimension when describing the effects of trapped particle transport on radiation belt intensity.
Solène Lejosne, Jay M. Albert, Samuel D. Walton   +2 more
doaj   +1 more source

Fractional Advection-Diffusion-Asymmetry Equation [PDF]

Physical Review Letters, 2020
17 ...
Wanli Wang, Eli Barkai
openaire   +3 more sources

Advanced Analytic Self-Similar Solutions of Regular and Irregular Diffusion Equations

Mathematics, 2022
We study the diffusion equation with an appropriate change of variables. This equation is, in general, a partial differential equation (PDE). With the self-similar and related Ansatz, we transform the PDE of diffusion to an ordinary differential equation.
Imre Ferenc Barna, László Mátyás
doaj   +1 more source

Fractional Reaction-Diffusion Equations [PDF]

Astrophysics and Space Science, 2006
LaTeX, 17 pages, corrected ...
Saxena, R. K., Mathai, A. M., Haubold, H. J.   +2 more
openaire   +3 more sources

Anisotropic fast diffusion equations

Nonlinear Analysis, 2023
62 pages. Typos corrected, references added, text provided with very detailed proofs.
Feo F., Vázquez J. L., Volzone B.
openaire   +3 more sources

Stability Analysis of Convection & Diffusion equation [PDF]

Al-Rafidain Journal of Computer Sciences and Mathematics, 2009
The Stability Analysis of Convection& Diffusion equation by using Fourier mode Stability analysis in two cases has been considered , the first one when the amplitude is constant and the second one when the amplitude is variable .             In the first
Saad Manna, Badran Salem
doaj   +1 more source

Analytical Investigations into Anomalous Diffusion Driven by Stress Redistribution Events: Consequences of Lévy Flights

Mathematics, 2022
This research is concerned with developing a generalised diffusion equation capable of describing diffusion processes driven by underlying stress-redistributing type events.
Josiah D. Cleland, Martin A. K. Williams
doaj   +1 more source

Fundamental solution of the model equation of anomalous diffusion of fractional order

Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2015
Fundamental solution of the model equation of anomalous diffusion with Riemann-Liouville operator is constructed. Using the properties of the integral transformation with Wright function in kernel, we give estimates for the fundamental solution. When the
Fatima G Khushtova
doaj   +1 more source

Fractional-calculus diffusion equation [PDF]

Nonlinear Biomedical Physics, 2010
Sequel to the work on the quantization of nonconservative systems using fractional calculus and quantization of a system with Brownian motion, which aims to consider the dissipation effects in quantum-mechanical description of microscale systems.The canonical quantization of a system represented classically by one-dimensional Fick's law, and the ...
Ajlouni, Abdul-Wali M. S., Al-Rabai'ah, Hussam A.   +1 more
openaire   +2 more sources

Semi-Fractional Diffusion Equations [PDF]

Fractional Calculus and Applied Analysis, 2019
It is well known that certain fractional diffusion equations can be solved by the densities of stable L vy motions. In this paper we use the classical semigroup approach for L vy processes to define semi-fractional derivatives, which allows us to generalize this statement to semistable L vy processes.
Kern, Peter, Lage, Svenja, Meerschaert, Mark M.   +2 more
openaire   +2 more sources