The investigation of classical particle in the presence of fractional calculus

• Won Sang Chung ^[1] ; S. Zare ^[4] ; H. Hassanabadi ^[4] ; J. Kříž ^[2] ; E. Maghsoodi ^[3]
  1. [1] Gyeongsang National University

     Gyeongsang National University

     Corea del Sur

     
  2. [2] University of Hradec Králové

     University of Hradec Králové

     Chequia

     
  3. [3] Lorestan University

     Lorestan University

     Irán

     
  4. [4] Shahrood University of Technology, Shahrood, Iran

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• Localización: Revista Mexicana de Física, ISSN-e 0035-001X, Vol. 66, Nº. 6, 2020, págs. 840-847
• Idioma: español
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• Resumen

  • 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.