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



Document title: The investigation of a classical particle in the presence of fractional calculus
Journal: Revista mexicana de física
Database: PERIÓDICA
System number: 000454036
ISSN: 0035-001X
Authors: 1
2
2
3
4
Institutions: 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
Year:
Season: Nov-Dic
Volumen: 66
Number: 6
Pages: 840-847
Country: México
Language: Inglés
Document type: Artículo
Approach: Analítico, teórico
English abstract 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
Keyword: 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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