Keyword

fractional diffusion

Description: Diffusive transport described using fractional-order derivatives, often to represent anomalous spreading or memory effects.

Primary topic: Fractional Differential Equations Solutions (49%)

OpenAlex ID: keywords/fractional-diffusion

Fractional Calculus and Waves in Linear Viscoelasticity

2010 · Francesco Mainardi · IMPERIAL COLLEGE PRESS eBooks · 1,759

Fractional relaxation-oscillation and fractional diffusion-wave phenomena

1996 · Francesco Mainardi · Chaos Solitons & Fractals · 981

Drift diffusion equations with fractional diffusion and the quasi-geostrophic equation

2010 · Luis Caffarelli, Alexis Vasseur · Annals of Mathematics · 892

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The role of fractional calculus in modeling biological phenomena: A review

2017 · C. Ionescu, A. Lopes, et al. · Communications in Nonlinear Science and Numerical Simulation · 730

The realization of the generalized transfer equation in a medium with fractal geometry

1986 · R. R. Nigmatullin · physica status solidi (b) · 686

Stochastic models of intracellular transport

2013 · Paul C. Bressloff, Jay M. Newby · Reviews of Modern Physics · 631

Anomalous transport : foundations and applications

2008 · Rainer Klages, Günter Radons, et al. · 543

Principal Component Analysis for Protein Folding Dynamics

2008 · Gia G. Maisuradze, Adam Liwo, et al. · Journal of Molecular Biology · 497

From diffusion to anomalous diffusion: A century after Einstein’s Brownian motion

2005 · I. M. Sokolov, J. Klafter · Chaos An Interdisciplinary Journal of Nonlinear Science · 466

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Fractional Diffusion Models of Option Prices in Markets With Jumps

2006 · Álvaro Cartea, Diego del-Castillo-Negrete · Physica A Statistical Mechanics and its Applications · 354

Fractional reaction–diffusion

2000 · B.I Henry, S.L Wearne · Physica A Statistical Mechanics and its Applications · 326

Fractional diffusion in inhomogeneous media

2005 · A V Chechkin, R Gorenflo, et al. · Journal of Physics A Mathematical and General · 288

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Fractional diffusion in plasma turbulence

2004 · D. del-Castillo-Negrete, B. A. Carreras, et al. · Physics of Plasmas · 279

Finite Difference Methods for Fractional Differential Equations

2012 · CHANGPIN LI, FANHAI ZENG · International Journal of Bifurcation and Chaos · 278

Nondiffusive Transport in Plasma Turbulence: A Fractional Diffusion Approach

2005 · D. del-Castillo-Negrete, B. A. Carreras, et al. · Physical Review Letters · 275

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Fractional Dynamics

2011 · Joseph Klafter, S C Lim, et al. · WORLD SCIENTIFIC eBooks · 274

Chemical Rate Processes and Magnetic Resonance

1965 · CHARLES S. JOHNSON · Advances in magnetic and optical resonance · 267

A fractional porous medium equation

2010 · Arturo de Pablo, Fernando Quirós, et al. · Advances in Mathematics · 249

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Parameter Estimation in Stochastic Differential Equations

2007 · Jaya P. N. Bishwal · Lecture notes in mathematics · 247

A PDE Approach to Fractional Diffusion in General Domains: A Priori Error Analysis

2014 · Ricardo H. Nochetto, Enrique Otárola, et al. · Foundations of Computational Mathematics · 242

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Diffusion-Wave Fields

2001 · Andreas Mandelis · Springer eBooks · 230

On fractional Choquard equations

2015 · Pietro d'Avenia, Gaetano Siciliano, et al. · Mathematical Models and Methods in Applied Sciences · 224

Fractional diffusion and Lévy stable processes

1997 · Bruce J. West, Paolo Grigolini, et al. · Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics · 210

Front Dynamics in Reaction-Diffusion Systems with Levy Flights: A Fractional Diffusion Approach

2003 · D. del-Castillo-Negrete, B. A. Carreras, et al. · Physical Review Letters · 205

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Existence of Turing Instabilities in a Two-Species Fractional Reaction-Diffusion System

2002 · B. I. Henry, S. L. Wearne · SIAM Journal on Applied Mathematics · 203

Works count: 1,874

Citation count: 31,300