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Fractional dynamics is a field of study in physics, mechanics, mathematics, and economics investigating the behavior of objects and systems that are described by using integrations and differentiation of fractional orders, by methods in the fractional calculus. Derivatives and integrals of fractional orders are used to describe objects that can be characterized by power-law nonlocality, power-law long-term memory or fractal properties. Related applications include acoustical wave equations (see also the Applications section in the Fractional calculus article). ==Further reading== * R. Metzler, J. Klafter, ''The random walk's guide to anomalous diffusion: A fractional dynamics approach''. 〔(''The random walk's guide to anomalous diffusion: A fractional dynamics approach''. )〕 Phys. Rep. Vol. 339 No.1. (2000) 1–77. * B.J. West, M. Bologna, P. Grigolini, ''Physics of Fractal Operators.'' 〔(''Physics of Fractal Operators.'' )〕 Springer, 2003. 354 pages/ Chapter 3. * G.M. Zaslavsky. ''Hamiltonian Chaos and Fractional Dynamics'' 〔(''Hamiltonian Chaos and Fractional Dynamics''. )〕 Oxford University Press, 2008. 432 pages * V. Lakshmikantham, S. Leela, J. Vasundhara Devi, ''Theory of Fractional Dynamic Systems'' 〔(''Theory of Fractional Dynamic Systems''. )〕 Cambridge Scientific Publishers, 2009. * F. Mainardi, ''Fractional Calculus and Waves in Linear Viscoelasticity: An Introduction to Mathematical Models''〔(Fractional Calculus and Waves in Linear Viscoelasticity: An Introduction to Mathematical Models. )〕 Imperial College Press, 2010. * V.E. Tarasov, ''Fractional Dynamics: Applications of Fractional Calculus to Dynamics of Particles, Fields and Media'' 〔(''Fractional Dynamics: Applications of Fractional Calculus to Dynamics of Particles, Fields and Media''. )〕 Springer, 2010. 504 pages * R. Caponetto, G. Dongola, L. Fortuna, I. Petras, ''Fractional Order Systems: Modeling and Control Applications''〔(''Fractional Order Systems: Modeling and Control Applications''. )〕 World Scientific Publishing Company, 2010. * A.C.J. Luo, V. Afraimovich (Eds.), ''Long-range Interaction, Stochasticity and Fractional Dynamics''〔(Long-range Interaction, Stochasticity and Fractional Dynamics. )〕 Springer, 2010. * J. Klafter, S.C. Lim, R. Metzler (Eds.), (Fractional Dynamics. Recent Advances. ) (World Scientific, Singapore, 2011). * Changpin Li, Yujiang Wu, Ruisong Ye (Eds.), ''Recent Advances in Applied Nonlinear Dynamics with Numerical Analysis: Fractional Dynamics, Network Dynamics, Classical Dynamics and Fractal Dynamics with Their Numerical Simulations''〔(''Recent Advances in Applied Nonlinear Dynamics with Numerical Analysis: Fractional Dynamics, Network Dynamics, Classical Dynamics and Fractal Dynamics with Their Numerical Simulations'' )〕 World Scientific, 2013. * Fractional Differential Equations〔 (Fractional Differential Equations (FDE) )〕 抄文引用元・出典: フリー百科事典『 ウィキペディア（Wikipedia）』 ■ウィキペディアで「Fractional dynamics」の詳細全文を読む スポンサード リンク
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