Fractional trajectories: decorrelation versus friction

DOI10.1016/j.physa.2013.07.028zbMath1395.82120OpenAlexW2034918555MaRDI QIDQ1673311

M. T. Beig, M. Turalska, Adam Svenkeson, Paolo Grigolini, Bruce J. West

Publication date: 11 September 2018

Published in: Physica A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.physa.2013.07.028

zbMATH Keywords

subordinationrelaxation to equilibriumnonlinear operatorfractional calculusdecorrelationMittag-Leffler

Mathematics Subject Classification ID

Ecology (92D40) Foundations of time-dependent statistical mechanics (82C03) Fractional ordinary differential equations (34A08)

Related Items (5)

Exact solution to fractional logistic equation ⋮ Generalized convolution ⋮ Diffusion in heterogeneous media: an iterative scheme for finding approximate solutions to fractional differential equations with time-dependent coefficients ⋮ Fractional calculus ties the microscopic and macroscopic scales of complex network dynamics ⋮ Approximate analytical solution of two coupled time fractional nonlinear Schrödinger equations

Uses Software

• mlrnd

Cites Work

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• Quantum dissipation from power-law memory
• A fractional calculus interpretation of the fractional volatility model
• Equilibrium points, stability and numerical solutions of fractional-order predator-prey and rabies models
• Application of fractional derivatives to the analysis of damped vibrations of viscoelastic single mass systems
• Response characteristics of a fractional oscillator
• Front dynamics in a two-species competition model driven by Lévy flights
• A predictor-corrector approach for the numerical solution of fractional differential equations
• Complexity and the fractional calculus
• A mathematical model on fractional Lotka-Volterra equations
• Probability interpretation of the integral of fractional order
• Random Walks on Lattices. II
• Aging and nonergodicity beyond the Khinchin theorem
• Long-term memory contribution as applied to the motion of discrete dynamical systems
• A Theoretical Basis for the Application of Fractional Calculus to Viscoelasticity
• The fundamental solution of the space-time fractional diffusion equation
• From diffusion to anomalous diffusion: A century after Einstein’s Brownian motion
• The random walk's guide to anomalous diffusion: A fractional dynamics approach

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