Search results

Sort By:

Limit search:

RLC electrical circuit of non-integer order

100%

Gómez F., Rosales J., Guía M.

Open Physics

2013

vol. 11

issue 10

1361-1365

In this work a fractional differential equation for the electrical RLC circuit is studied. The order of the derivative being considered is 0 < γ ≤ 1. To keep the dimensionality of the physical quantities R, L and C an auxiliary parameter γ is introduced. This parameter characterizes the existence of fractional components in the system. It is shown that there is a relation between and σ through the physical parameters RLC of the circuit. Due to this relation, the analytical solution is given in terms of the Mittag-Leffler function depending on the order of the fractional differential equation.

Two dimensional fractional projectile motion in a resisting medium

88%

Rosales J., Guía M., Gómez F., Aguilar F., Martínez J.

Open Physics

2014

vol. 12

issue 7

517-520

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.

Refine search results

2 Open Physics

1 2014

1 2013

2 Guía M.

2 Gómez F.

2 Rosales J.

1 Aguilar F.

1 Martínez J.

Search results

RLC electrical circuit of non-integer order

Two dimensional fractional projectile motion in a resisting medium