Dynamics with low-level fractionality
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[1] D. A. Usikov,et al. Nonlinear Physics: From the Pendulum to Turbulence and Chaos , 1988 .
[2] Alexander Puzenko,et al. Damped oscillations in view of the fractional oscillator equation , 2002 .
[3] Nick Laskin,et al. Fractals and quantum mechanics. , 2000, Chaos.
[4] R. Nigmatullin. The Realization of the Generalized Transfer Equation in a Medium with Fractal Geometry , 1986, January 1.
[5] A. Erdélyi,et al. Tables of integral transforms , 1955 .
[6] J. Rogers. Chaos , 1876, Molecular Vibrations.
[7] Ervin Goldfain. Fractional dynamics, Cantorian space–time and the gauge hierarchy problem , 2004 .
[8] V. E. Tarasov. Fractional hydrodynamic equations for fractal media , 2005, physics/0602096.
[9] J. Klafter,et al. The random walk's guide to anomalous diffusion: a fractional dynamics approach , 2000 .
[10] W. D. Evans,et al. PARTIAL DIFFERENTIAL EQUATIONS , 1941 .
[11] A. d’Onofrio. Fractal growth of tumors and other cellular populations: Linking the mechanistic to the phenomenological modeling and vice versa , 2009, 1309.3329.
[12] Vickie E. Lynch,et al. Anomalous diffusion and exit time distribution of particle tracers in plasma turbulence model , 2001 .
[13] Miss A.O. Penney. (b) , 1974, The New Yale Book of Quotations.
[14] B. Achar,et al. Dynamics of the fractional oscillator , 2001 .
[15] A. Tofighi,et al. The intrinsic damping of the fractional oscillator , 2003 .
[16] O. Barndorff-Nielsen,et al. Lévy processes : theory and applications , 2001 .
[17] D. Naylor. On an integral transform , 1979, Glasgow Mathematical Journal.
[18] F. Mainardi. Fractional Relaxation-Oscillation and Fractional Diffusion-Wave Phenomena , 1996 .
[19] R. Hilfer. Applications Of Fractional Calculus In Physics , 2000 .
[20] B. Achar,et al. Response characteristics of a fractional oscillator , 2002 .
[21] Alexander I. Saichev,et al. Fractional kinetic equations: solutions and applications. , 1997, Chaos.
[22] Department of Physics,et al. Some Applications of Fractional Equations , 2003 .
[23] J. Krisch. Fractional boundary for the Gott-Hiscock string , 2005 .
[24] Vasily E. Tarasov,et al. Electromagnetic field of fractal distribution of charged particles , 2005, physics/0610010.
[25] R. Gorenflo,et al. Fractional Calculus: Integral and Differential Equations of Fractional Order , 2008, 0805.3823.
[26] L. C. Woods. Physics of plasmas , 2003 .
[27] G. Uhlenbeck,et al. Studies in statistical mechanics , 1962 .
[28] Igor M. Sokolov,et al. Physics of Fractal Operators , 2003 .
[29] A. Erdélyi,et al. Higher Transcendental Functions , 1954 .
[30] V. E. Tarasov. Continuous Medium Model for Fractal Media , 2005, cond-mat/0506137.
[31] O. Marichev,et al. Fractional Integrals and Derivatives: Theory and Applications , 1993 .
[32] Francesco Mainardi,et al. On Mittag-Leffler-type functions in fractional evolution processes , 2000 .
[33] G. G. Stokes. "J." , 1890, The New Yale Book of Quotations.
[34] G. Zaslavsky,et al. Chaotic transmission of waves and "cooling" of signals. , 1997, Chaos.
[35] T. MacRobert. Higher Transcendental Functions , 1955, Nature.
[36] M. Caputo. Linear Models of Dissipation whose Q is almost Frequency Independent-II , 1967 .
[37] N. Laskin. Fractional Schrödinger equation. , 2002, Physical review. E, Statistical, nonlinear, and soft matter physics.
[38] M. Naber. Time fractional Schrödinger equation , 2004, math-ph/0410028.
[39] R. Gorenflo,et al. Wright functions as scale-invariant solutions of the diffusion-wave equation , 2000 .
[40] George M. Zaslavsky,et al. Fractional kinetics: from pseudochaotic dynamics to Maxwell’s Demon , 2004 .
[41] Renormalization group and the emergence of random fractal topology in quantum field theory , 2004 .
[42] W. Woyczynski,et al. Fractal Burgers Equations , 1998 .
[43] Andrew G. Glen,et al. APPL , 2001 .
[44] Aleksander Stanislavsky,et al. Twist of fractional oscillations , 2005, 1111.5298.
[45] K. Miller,et al. An Introduction to the Fractional Calculus and Fractional Differential Equations , 1993 .
[46] N. Laskin. Fractional quantum mechanics and Lévy path integrals , 1999, hep-ph/9910419.
[47] J. Rasmussen,et al. Fractional generalization of the Ginzburg–Landau equation: an unconventional approach to critical phenomena in complex media , 2003, cond-mat/0309577.
[48] G. Zaslavsky. Chaos, fractional kinetics, and anomalous transport , 2002 .
[49] V. E. Tarasov,et al. Fractional Fokker-Planck equation for fractal media. , 2005, Chaos.
[50] G. Zaslavsky,et al. Fractional Ginzburg–Landau equation for fractal media , 2005, physics/0511144.
[51] B. Achar,et al. Damping characteristics of a fractional oscillator , 2004 .
[52] Francesco Mainardi,et al. Linear models of dissipation in anelastic solids , 1971 .
[53] G M Zaslavsky,et al. Chaotic and pseudochaotic attractors of perturbed fractional oscillator. , 2006, Chaos.
[54] George M. Zaslavsky,et al. Fractional kinetic equation for Hamiltonian chaos , 1994 .
[55] Raoul R. Nigmatullin,et al. Fractional integral and its physical interpretation , 1992 .
[56] F. Mainardi,et al. Fractals and fractional calculus in continuum mechanics , 1997 .