Classical Dynamics of Particles and Systems

A closed form expression for the Gaussian–based Caputo–Fabrizio fractional derivative for signal processing applications

Journal of magnetic resonance. Series B

Physical properties of the projectile motion using the conformable derivative

Fractional approach for analysis of the model describing wind-influenced projectile motion

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.

Flor Aguilar

Papers

Two dimensional fractional projectile motion in a resisting medium