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Lagrangian and Hamiltonian Mechanics on Fractals Subset of Real-Line |
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| Authors: | Alireza Khalili Golmankhaneh Ali Khalili Golmankhaneh Dumitru Baleanu |
| Institution: | 1. Department of Physics, Islamic Azad University, Urmia Branch, PO Box 969, Urmia, Iran 2. Department of Mathematics and Computer Science, ?ankaya University, 06530, Ankara, Turkey 3. Institute of Space Sciences, P.O. BOX, MG-23, R76900, Magurele-Bucharest, Romania 4. Department of Chemical and Materials Engineering, Faculty of Engineering, King Abdulaziz University, P.O. Box 80204, Jeddah, 21589, Saudi Arabia |
| Abstract: | A discontinuous media can be described by fractal dimensions. Fractal objects has special geometric properties, which are discrete and discontinuous structure. A fractal-time diffusion equation is a model for subdiffusive. In this work, we have generalized the Hamiltonian and Lagrangian dynamics on fractal using the fractional local derivative, so one can use as a new mathematical model for the motion in the fractal media. More, Poisson bracket on fractal subset of real line is suggested. |
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