Two dimensional fractional projectile motion in a resisting medium

• Autorzy: Juan Rosales , Manuel Guía , Francisco Gómez , Flor Aguilar , Juan Martínez
• 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.

Słowa kluczowe

EN

Projectile motion; Caputo derivative; Fractional differential equations; Mittag-Leffler function

• Czasopismo: Open Physics
• Rocznik: 2014
• Tom: 12
• Numer: 7
• Strony: 517-520

Daty

wydano

2014-07-01

online

2014-06-21

Twórcy

autor

Juan Rosales

• Department of Electrical Engineering, DICIS, University of Gto, Campus Irapuato-Salamanca, Salamanca Gto, Mexico

autor

Manuel Guía

• Department of Electrical Engineering, DICIS, University of Gto, Campus Irapuato-Salamanca, Salamanca Gto, Mexico

autor

Francisco Gómez

• Department of Solar Materials. Renewable Energy Institute, National Autonomous University of Mexico, Priv. Xochicalco s/n. Col. Centro, Temixco Morelos, Mexico,

autor

Flor Aguilar

• Academic Unit of Mathematics, Autonomous University of Zacatecas, Zacatecas, Mexico

autor

Juan Martínez

• Academic Unit of Mathematics, Autonomous University of Zacatecas, Zacatecas, Mexico

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Identyfikatory

DOI

10.2478/s11534-014-0473-8