| Journal: | Revista mexicana de física |
| Database: | PERIÓDICA |
| System number: | 000446978 |
| ISSN: | 0035-001X |
| Authors: | Sang Chung, W1 Hassanabadi, H2 Maghsoodi, E3 |
| Institutions: | 1Gyeongsang National University, College of Natural Science, Gyeongsang. Corea del Sur 2Shahrood University of Technology, Faculty of physics, Shahrood. Irán 3Lorestan University, Faculty of Science, Khorramabad. Irán |
| Year: | 2021 |
| Season: | Ene-Feb |
| Volumen: | 67 |
| Number: | 1 |
| Pages: | 68-74 |
| Country: | México |
| Language: | Inglés |
| Document type: | Artículo |
| Approach: | Analítico, teórico |
| English abstract | In this paper, we introduce a new fractional derivative to define a new fractional velocity and a new fractional acceleration with the fractional space translation symmetry, which is given by fractional addition. We also construct the fractional version for Newton mechanics with fractional space translation symmetry in one dimension. We show the conservation of fractional energy and formulate the fractional Hamiltonian formalism for the fractional mechanics with fractional space translation symmetry. We exhibit some examples for the fractional mechanics with fractional space translation symmetry |
| Disciplines: | Física y astronomía |
| Keyword: | Física, Cálculo fraccional, Nueva derivada fraccional, Formalismo fraccionario hamiltoniano |
| Keyword: | Physics, Fractional calculus, New fractional derivative, Fractional Hamiltonian formalism |
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