Results 71 to 80 of about 125,128 (279)

Solutions of the Fractional Reaction Equation and the Fractional Diffusion Equation

, 2009
In view of the role of reaction equations in physical problems, the authors derive the explicit solution of a fractional reaction equation of general character, that unifies and extends earlier results.
Haubold, H. J., Mathai, A. M., Saxena, R. K.   +2 more
core   +1 more source

Epilepsy‐Associated Variants of a Single SCN1A Codon Exhibit Divergent Functional Properties

Annals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Objective Pathogenic variants in SCN1A, which encodes the voltage‐gated sodium channel NaV1.1, are associated with multiple epilepsy syndromes exhibiting a range of clinical severity. SCN1A variants are reported in different syndromes, including Dravet syndrome, which is associated with loss‐of‐function, whereas neonatal/infantile‐onset ...
Lanie N. Liebovitz, Christopher H. Thompson, Linda C. Laux, Alfred L. George Jr.   +3 more
wiley   +1 more source

Subordinated diffusion and CTRW asymptotics

, 2010
Anomalous transport is usually described either by models of continuous time random walks (CTRW) or, otherwise by fractional Fokker-Planck equations (FFPE).
Dybiec, Bartlomiej, Gudowska-Nowak, Ewa
core   +1 more source

Revisiting Stability Criteria in Ball‐Milled High‐Entropy Alloys: Do Hume–Rothery and Thermodynamic Rules Equally Apply?

Advanced Engineering Materials, Volume 27, Issue 6, March 2025.
The stability criteria affecting the formation of high‐entropy alloys, particularly focusing in supersaturated solid solutions produced by mechanical alloying, are analyzed. Criteria based on Hume–Rothery rules are distinguished from those derived from thermodynamic relations. The formers are generally applicable to mechanically alloyed samples.
Javier S. Blázquez, Alejandro F. Manchón‐Gordón, Antonio Vidal‐Crespo, Rafael Caballero‐Flores, Jhon J. Ipus, Clara F. Conde   +5 more
wiley   +1 more source

Anomalous Diffusion Models Involving Regularized General Fractional Derivatives with Sonin Kernels

Fractal and Fractional
In this paper, we introduce a general fractional master equation involving regularized general fractional derivatives with Sonin kernels, and we discuss its physical characteristics and mathematical properties.
Maryam Alkandari, Dimitri Loutchko, Yuri Luchko   +2 more
doaj   +1 more source

Analytical solution of the time fractional diffusion equation and fractional convection-diffusion equation

Revista Mexicana de Física, 2018
In this paper, we obtain analytical solutions for the time-fractional diffusion and time-fractional convection-diffusion equations. These equations are obtained from the standard equations by replacing the time derivative with a fractional derivative of order $\alpha$.
Francisco Gomez, Victor Morales, Marco Taneco   +2 more
openaire   +1 more source

An Alternative Method for Solving a Certain Class of Fractional Kinetic Equations

, 2010
An alternative method for solving the fractional kinetic equations solved earlier by Haubold and Mathai (2000) and Saxena et al. (2002, 2004a, 2004b) is recently given by Saxena and Kalla (2007).
A Saichev, A Wiman, AM Mathai, BN Al-Saqabi, G.M. Mittag-Leffler, GM Zaslavsky, HJ Haubold, I Podlubny, KB Oldham, KS Miller, MM Dzherbashyan, MM Dzherbashyan, R Hilfer, RK Saxena, RK Saxena, RK Saxena, RK Saxena, RK Saxena, RK Saxena, RK Saxena, RK Saxena, TF Nonnenmacher, WG Gloeckle   +22 more
core   +1 more source

Characterization of Defect Distribution in an Additively Manufactured AlSi10Mg as a Function of Processing Parameters and Correlations with Extreme Value Statistics

Advanced Engineering Materials, EarlyView.
Predicting extreme defects in additive manufacturing remains a key challenge limiting its structural reliability. This study proposes a statistical framework that integrates Extreme Value Theory with advanced process indicators to explore defect–process relationships and improve the estimation of critical defect sizes. The approach provides a basis for
Muhammad Muteeb Butt, Varma Kvvssn, Hossein Laieghi, Zia Uddin, Peyman Ansari, E. Kıvanç Sadak, Can Barış Toprak, Hüseyin Kızıl, Enrico Salvati   +8 more
wiley   +1 more source

Nonlinear porous medium flow with fractional potential pressure

, 2010
We study a porous medium equation, with nonlocal diffusion effects given by an inverse fractional Laplacian operator. We pose the problem in n-dimensional space for all t>0 with bounded and compactly supported initial data, and prove existence of a weak ...
A. Córdoba, A. Pablo de, A.K. Head, E. Keller, E. Weinan, E.M. Stein, I. Athanasopoulos, I. Athanasopoulos, J. Simon, J.L. Vázquez, J.P. Aubin, Juan Luis Vazquez, L. Ambrosio, L.A. Caffarelli, L.A. Caffarelli, L.A. Caffarelli, L.A. Caffarelli, L.A. Caffarelli, L.E. Silvestre, L.S. Leibenzon, Luis Caffarelli, M. Muskat, M. Riesz, P. Biler, S.J. Chapman, W. Jäger   +25 more
core   +1 more source

On the Lightweight Potential of Laser Additive Manufactured NiTi Triply Periodic Minimal Sheet Lattices

Advanced Engineering Materials, EarlyView.
This study explores the lightweight potential of laser additive‐manufactured NiTi triply periodic minimal surface sheet lattices. It systematically investigates the effects of relative density and unit cell size on surface quality, deformation recovery, compression behavior, and energy absorption.
Haoming Mo, Shuo Qu, Shiming Gao, Xu Song   +3 more
wiley   +1 more source