The investigation of a classical particle in the presence of fractional calculus



Título del documento: The investigation of a classical particle in the presence of fractional calculus
Revista: Revista mexicana de física
Base de datos: PERIÓDICA
Número de sistema: 000454036
ISSN: 0035-001X
Autors: 1
2
2
3
4
Institucions: 1Gyeongsang National University, Institute of Natural Science, Jinju. Corea del Sur
2Shahrood University of Technology, Faculty of Physics, Shahrood. Irán
3University of Hradec Kralove, Department of Physics, Hradec Kralove. República Checa
4Lorestan University, Faculty of Science, Khorramabad. Irán
Any:
Període: Nov-Dic
Volum: 66
Número: 6
Paginació: 840-847
País: México
Idioma: Inglés
Tipo de documento: Artículo
Enfoque: Analítico, teórico
Resumen en inglés In this article, by applying a preliminary and comprehensive definition of the fractional calculus, its effect on different aspects of physics is specified, as in the case of Laplace transforms, Riemann-Liouville, and Caputo derivatives. Applications of the fractional calculus in studying the dynamics of particle motion in classical mechanics are investigated analytically. Furthermore, we compare our results with those obtained from the usual methods and we show that both solutions coincide provided the fractional effects are removed
Disciplines Física y astronomía
Paraules clau: Termodinámica y física estadística,
Cálculo fraccional,
Mecánica clásica,
Derivada fraccional de Riemann-Louville
Keyword: Thermodynamics and statistical physics,
Fractional calculus,
Classical mechanics,
Riemann-Louville fractional derivative
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