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2014 | 12 | 7 | 517-520
Tytuł artykułu

Two dimensional fractional projectile motion in a resisting medium

Treść / Zawartość
Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
In this paper we propose a fractional differential equation describing the behavior of a two dimensional projectile in a resisting medium. In order to maintain the dimensionality of the physical quantities in the system, an auxiliary parameter k was introduced in the derivative operator. This parameter has a dimension of inverse of seconds (sec)−1 and characterizes the existence of fractional time components in the given system. It will be shown that the trajectories of the projectile at different values of γ and different fixed values of velocity v 0 and angle θ, in the fractional approach, are always less than the classical one, unlike the results obtained in other studies. All the results obtained in the ordinary case may be obtained from the fractional case when γ = 1.
Wydawca
Czasopismo
Rocznik
Tom
12
Numer
7
Strony
517-520
Opis fizyczny
Daty
wydano
2014-07-01
online
2014-06-21
Twórcy
autor
  • Department of Electrical Engineering, DICIS, University of Gto, Campus Irapuato-Salamanca, Salamanca Gto, Mexico
autor
  • Department of Electrical Engineering, DICIS, University of Gto, Campus Irapuato-Salamanca, Salamanca Gto, Mexico
  • Department of Solar Materials. Renewable Energy Institute, National Autonomous University of Mexico, Priv. Xochicalco s/n. Col. Centro, Temixco Morelos, Mexico , franciscogoma@hotmail.com
autor
  • Academic Unit of Mathematics, Autonomous University of Zacatecas, Zacatecas, Mexico
  • Academic Unit of Mathematics, Autonomous University of Zacatecas, Zacatecas, Mexico
Bibliografia
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  • [17] Baleanu D., Günvenc Z.B., Tenreiro Machado J.A. New Trends in Nanotechnology and Fractional Calculus Applications, (Springer, 2010) http://dx.doi.org/10.1007/978-90-481-3293-5[Crossref]
  • [18] D. Baleanu, K. Diethelm, E. Scalas, J. J. Trujillo. Fractional Calculus Models and Numerical Methods. Series on Complexity, Nonlinearity and Chaos, (World Scientific, 2012)
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Typ dokumentu
Bibliografia
Identyfikatory
Identyfikator YADDA
bwmeta1.element.-psjd-doi-10_2478_s11534-014-0473-8
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