References
N. N. Bogolyubov, Dynamic Problems in Statistical Physics (OGIZ, Moscow, 1946).
Yu. L. Klimontovich, Statistical Physics of Open Systems (Yanus, Moscow, 1995/1999/2001; Kluwer, Dordrecht, 1995/1999/2001), Vols. 1, 2, 3.
I. G. Prigogine, The End of Certainty (Free Press, New York, 1997).
B. Mandelbrot, The Fractal Geometry of Nature (Freeman, New York, 1982).
A. V. Chechkin, R. Gorenflo, and I. M. Sokolov, Phys. Rev. E 66, 046129 (2002).
W. G. Gloecke and T. F. Nonnenmacher, J. Stat. Phys. 71(34), 741 (1993).
V. L. Kobelev, E. P. Romanov, L. Ya. Kobelev, and Ya. L. Kobelev, Dokl. Akad. Nauk 361, 755 (1998) [Dokl. Phys. 43, 487 (1998)].
W. Day, Thermodynamics of Simple Materials with Fading Memory (Springer-Verlag, Berlin, 1972; Mir, Moscow, 1974).
V. Ya. Shur, S. A. Negashev, et al., Ferroelectrics 169, 63 (1995).
P. V. Korolev and S. N. Kul’kov, Perspekt. Mater., No. 3, 21 (1997).
V. S. Ivanova, A. S. Balankin, I. Zh. Bunin, and A. A. Oksogoev, Synergetics and Fractals in Materials Science (Nauka, Moscow, 1994).
L. Ya. Kobelev, Fractal Theory of Time and Space, Available from VINITI, No. 2677-B99 (Moscow, 1999).
S. G. Samko, A. A. Kilbas, and O. I. Marichev, Fractional Integrals and Derivatives, Theory and Applications (Nauka i Tekhnika, Minsk, 1987; Gordon and Breach, Amsterdam, 1993).
I. M. Gelfand and G. E. Shilov, Generalized Functions (Academic, New York, 1964).
Ya. L. Kobelev, L. Ya. Kobelev, and Yu. L. Klimontovich, Dokl. Akad. Nauk 390(5) (1993) (in press).
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Translated from Doklady Akademii Nauk, Vol. 390, No. 6, 2003, pp. 758–762.
Original Russian Text Copyright © 2003 by Ya. Kobelev, L. Kobelev, Klimontovich.
Deceased.
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Kobelev, Y.L., Kobelev, L.Y. & Klimontovich, Y.L. Statistical physics of dynamic systems with variable memory. Dokl. Phys. 48, 285–289 (2003). https://doi.org/10.1134/1.1591315
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DOI: https://doi.org/10.1134/1.1591315