Complexity and the fractional calculus

DOI10.1155/2013/498789zbMath1276.60027OpenAlexW2128614559WikidataQ58918850 ScholiaQ58918850MaRDI QIDQ1953173

Bruce J. West, Pensri Pramukkul, Mauro Bologna, Paolo Grigolini, Adam Svenkeson

Publication date: 7 June 2013

Published in: Advances in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2013/498789

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Fractional derivatives and integrals (26A33) General theory of stochastic processes (60G07)

Related Items (8)

Generalized convolution ⋮ Diffusion in heterogeneous media: an iterative scheme for finding approximate solutions to fractional differential equations with time-dependent coefficients ⋮ Fractional trajectories: decorrelation versus friction ⋮ Certain midpoint-type integral inequalities involving twice differentiable generalized convex mappings and applications in fractal domain ⋮ Criticality and avalanches in neural networks ⋮ The emergence of self-organization in complex systems -- Preface ⋮ Emergence of biological complexity: criticality, renewal and memory ⋮ Short note on the emergence of fractional kinetics

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Transient chaos in fractional Bloch equations
• The fractional Poisson process and the inverse stable subordinator
• Equilibrium points, stability and numerical solutions of fractional-order predator-prey and rabies models
• Nonlinear dynamics and chaos in a fractional-order HIV model
• Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
• Power spectra and random walks in intermittent chaotic systems
• On Mittag-Leffler-type functions in fractional evolution processes
• Chaos in the fractional order Chen system and its control
• Nonlinear dynamics and chaos in fractional-order neural networks
• Stability and stabilizing of fractional complex Lorenz systems
• Chaos in the Newton-Leipnik system with fractional order
• Random Walks on Lattices. II
• Fractal dimensionality of Lévy processes
• Subordinated Brownian Motion and its Fractional Fokker–Planck Equation
• Limit theorems for occupation times of Markov processes
• The random walk's guide to anomalous diffusion: A fractional dynamics approach

This page was built for publication: Complexity and the fractional calculus