Wave Equation for Fractal Solid String

Details Wave Equation for Fractal Solid String Wave Equation for Fractal Solid String

2006-04-29

arxiv.org/abs/physics/0605006v1

Modern Physics Letters B 19 (2005) 721-728

Physics

Classical Physics

8 pages, 2 figures, LaTeX

Scientific paper

10.1142/S0217984905008712

We use the fractional integrals to describe fractal solid. We suggest to consider the fractal solid as special (fractional) continuous medium. We replace the fractal solid with fractal mass dimension by some continuous model that is described by fractional integrals. The fractional integrals are considered as approximation of the integrals on fractals. We derive fractional generalization of the action functional and the Euler-Lagrange equation for the fractal solid string.The solution of wave equation for fractal solid string is considered.

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