12 December 2006 The wave propagation in/on natural random fractals
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Abstract
It is shown that to describe the wave propagation in disordered systems - in natural random fractals the fractional calculus is necessary to apply. The analogy between wave equations of fractional temporal order and diffusion equation of fractional temporal order is preceded. The new generalized wave equations of fractional order are deduced from microscopic models as Comb model. The solutions of these equations are obtained and the physical sense of these fractional equations is discussed.
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V. E. Arkhincheev, V. E. Arkhincheev, A. B. Bainova, A. B. Bainova, } "The wave propagation in/on natural random fractals", Proc. SPIE 6404, Remote Sensing and Modeling of the Atmosphere, Oceans, and Interactions, 640410 (12 December 2006); doi: 10.1117/12.693707; https://doi.org/10.1117/12.693707
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