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Quasi-Fractals: New Possibilities in Description of Disordered Media

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Advances in Fractional Calculus
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New generalization of fractals named as quasi-fractals (QF) is introduced for description of wide class of disordered media.

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References

  1. Mandelbrot B (1983) The Fractal Geometry of Nature. Freeman, San- Francisco.

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  2. Nigmatullin RR, Alekhin AP (2005) Realization of the Riemann-Liouville Integral on New Self-Similar Objects. In: Books of abstracts, Fifth EUROMECH Nonlinear Dynamics Conference August 7-12, pp. 175-176 Prof. Dick H. van Campen (ed.), Eindhoven University of Technology, The Netherlands.

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  3. Mehaute A, Nigmatullin RR, Nivanen L (1998) Fleches du Temps et Geometrie Fractale, Hermez, Paris (in French).

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  4. Nigmatullin RR, Le Mehaute A (2005) J. Non-Cryst. Solids, 351:2888.

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  5. Nigmatullin RR (2005) Fractional kinetic equations and universal decoupling of a memory function in mesoscale region, Physica A (has been accepted for publication).

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  6. Fractals in Physics (1985) The Proceedings of the 6th International Sym- posium, Triest, Italy,9-12 July; Pietronero L, Tozatti E(eds.), Elsevier Science, Amsterdam, The Netherlands.

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Nigmatullin, R.R., Alekhin, A.P. (2007). Quasi-Fractals: New Possibilities in Description of Disordered Media. In: Sabatier, J., Agrawal, O.P., Machado, J.A.T. (eds) Advances in Fractional Calculus. Springer, Dordrecht. https://doi.org/10.1007/978-1-4020-6042-7_26

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  • DOI: https://doi.org/10.1007/978-1-4020-6042-7_26

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-1-4020-6041-0

  • Online ISBN: 978-1-4020-6042-7

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