dorsal/arxiv
View SchemaWave Equation for Fractal Solid String
| Authors | Vasily E. Tarasov |
|---|---|
| Categories | |
| ArXiv ID | physics/0605006 |
| URL | https://arxiv.org/abs/physics/0605006 |
| DOI | 10.1142/S0217984905008712 |
| Journal | Modern Physics Letters B. Vol.19. No.15. (2005) 721-728 |
Abstract
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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"abstract": "We use the fractional integrals to describe fractal solid. We suggest to\nconsider the fractal solid as special (fractional) continuous medium. We\nreplace the fractal solid with fractal mass dimension by some continuous model\nthat is described by fractional integrals. The fractional integrals are\nconsidered as approximation of the integrals on fractals. We derive fractional\ngeneralization of the action functional and the Euler-Lagrange equation for the\nfractal solid string.The solution of wave equation for fractal solid string is\nconsidered.",
"arxiv_id": "physics/0605006",
"authors": [
"Vasily E. Tarasov"
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"physics.class-ph"
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"doi": "10.1142/S0217984905008712",
"journal_ref": "Modern Physics Letters B. Vol.19. No.15. (2005) 721-728",
"title": "Wave Equation for Fractal Solid String",
"url": "https://arxiv.org/abs/physics/0605006"
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