A new fractional mechanics based on fractional addition



Título del documento: A new fractional mechanics based on fractional addition
Revista: Revista mexicana de física
Base de datos: PERIÓDICA
Número de sistema: 000446978
ISSN: 0035-001X
Autors: 1
2
3
Institucions: 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
Any:
Període: Ene-Feb
Volum: 67
Número: 1
Paginació: 68-74
País: México
Idioma: Inglés
Tipo de documento: Artículo
Enfoque: Analítico, teórico
Resumen en inglés 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
Paraules clau: Física,
Cálculo fraccional,
Nueva derivada fraccional,
Formalismo fraccionario hamiltoniano
Keyword: Physics,
Fractional calculus,
New fractional derivative,
Fractional Hamiltonian formalism
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