Published 1997
| Version v1
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Fractal derivatives: an interpretation and some usings in physics
- 1. Kabardino-Balkarskij Gosudarstvennyj Universitet, Nal'chik (Russian Federation)
- 2. Laboratory of Particle Physics, Joint Institute for Nuclear Research, Dubna (Russian Federation)
Description
The physical interpretation of the fractal derivatives of derived degree (including also 1/2) is given. On the basis of the proposed interpretation generalized transport equations for slow and fast stochastic processes are obtained and the first beginning-edge problem is solved. The mean squared value of a polymer chain is calculated, also the Pauli equation is deduced. (author)
Availability note (English)
Available from INIS in electronic form and/or on microfiche .Files
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Additional details
Additional titles
- Original title (Russian)
- Дробные производные: интерпретация и некоторые применения в физике
Publishing Information
- Imprint Pagination
- 14 p.
- Report number
- JINR-R--4-97-81
INIS
- Country of Publication
- Joint Institute for Nuclear Research (JINR)
- Country of Input or Organization
- Joint Institute for Nuclear Research (JINR)
- INIS RN
- 29003765
- Subject category
- S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
- Descriptors DEI
- BOUNDARY-VALUE PROBLEMS; PAULI SPIN OPERATORS; SCHROEDINGER EQUATION; STOCHASTIC PROCESSES; STURM-LIOUVILLE EQUATION
- Descriptors DEC
- ANGULAR MOMENTUM OPERATORS; DIFFERENTIAL EQUATIONS; EQUATIONS; MATHEMATICAL OPERATORS; PARTIAL DIFFERENTIAL EQUATIONS; QUANTUM OPERATORS; WAVE EQUATIONS
Optional Information
- Notes
- 11 refs.