Abstract
Model equations for the dynamics of an anisotropic plastic subsystem of a fractal medium are obtained in explicit form using fractional calculus. The slow dynamics of a number of parameters are analyzed and the results are represented graphically.
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REFERENCES
V. S. Abramov, “A model of the fractal string, ” Fiz. Tekhn. Vysok. Davl., 7 (1), 28–35 (1997).
V. S. Abramov andO. P. Abramova, “Field approach based on fractional calculus for describing the dynamics of fractal media, ” in: Modern Problems in Continuum Mechanics: Proc. III-rd International Conf. [in Russian], Rostov-on-Don, October 7–9, 1997, Rostov-on-Don (1997), Vol. 1, pp. 6–10.
S. G. Samko,A. A. Kilbas, andO. I. Marichev, Integrals and Derivatives of Fractional Order and Some Applications [in Russian], Minsk (1987).
L. D. Landau andE. M. Lifshits, The Theory of Elasticity [in Russian], Nauka, Moscow (1987), p. 248.
V. S. Abramov andO. P. Abramova, “Cauchy problem for a fractal string, ” Teoret. Prikl. Mekh., 27, 137–145, Kharkov (1997).
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Abramov, V.S., Abramova, O.P. & Efimenko, N.O. Dynamics Equations for an Anisotropic Plastic Subsystem of a Fractal Medium. Journal of Mathematical Sciences 107, 4370–4374 (2001). https://doi.org/10.1023/A:1012596231667
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DOI: https://doi.org/10.1023/A:1012596231667