A new fractional mechanics based on fractional addition

Authors

  • W. Sang Chung
  • H. Hassanabadi
  • E. Maghsoodi

DOI:

https://doi.org/10.31349/RevMexFis.67.68

Abstract

In this paper we are to define a new velocity having a dimension of (Length)α=(Time) and a new acceleration having a dimension of (Length)α=(Time)2, based on the fractional addition rule. Using this we discuss the fractional mechanics in one dimension. We show the conservation of fractional energy and formulate the Hamiltonian formalism for fractional mechanics. We exhibit some examples of fractional mechanics.

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Published

2021-01-07

How to Cite

[1]
W. S. Chung, H. Hassanabadi, and E. Maghsoodi, “A new fractional mechanics based on fractional addition”, Rev. Mex. Fís., vol. 67, no. 1 Jan-Feb, pp. 68–74, Jan. 2021.

Issue

Vol. 67 No. 1 Jan-Feb (2021): Revista Mexicana de Física

Section

07 Gravitation, Mathematical Physics and Field Theory

License

Copyright (c) 2021 Won Sang Chung, 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.