The investigation of classical particle in the presence of fractional calculus

Authors

  • Won Sang Chung
  • S. Zare
  • H. Hassanabadi
  • J. Kriz Department of Physics, University of Hradec Kr´alov´e,Rokitansk´eho 62, 500 03 Hradec Kr´alov´e, Czechia
  • E. Maghsoodi

DOI:

https://doi.org/10.31349/RevMexFis.66.840

Abstract

In this article, by applying a preliminary and comprehensive definition of the fractional calculus, the effect of this calculus on the fractional derivatives corresponding to different aspects of physics such as Laplace transforms, Riemann-Liouville and Caputo has been specified. 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 given in the ordinary condition and we show that this condition is simply found by removing the fractional effects and the expected results are obtained.

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Published

2020-11-05

How to Cite

[1]
W. S. Chung, S. Zare, H. Hassanabadi, J. Kriz, and E. Maghsoodi, “The investigation of classical particle in the presence of fractional calculus”, Rev. Mex. Fís., vol. 66, no. 6 Nov-Dec, pp. 840–847, Nov. 2020.

Issue

Vol. 66 No. 6 Nov-Dec (2020): Revista Mexicana de Física

Section

14 Other areas in Physics

License

Copyright (c) 2020 Won Sang Chung, Soroush Zare, Hassan Hassanabadi, Elham Maghsoodi

Creative Commons License

This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Authors retain copyright and grant the Revista Mexicana de Física right of first publication with the work simultaneously licensed under a CC BY-NC-ND 4.0 that allows others to share the work with an acknowledgement of the work's authorship and initial publication in this journal.