The investigation of classical particle in the presence of fractional calculus

Won Sang Chung, S. Zare, H. Hassanabadi, J. Kriz, E. Maghsoodi

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

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Revista Mexicana de Física

ISSN: 2683-2224 (on line), 0035-001X (print)

Bimonthly publication of Sociedad Mexicana de Física, A.C.
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