<abstract xmlns="http://www.w3.org/1999/xhtml">

<p>This paper establishes the parameters of the ball trajectory based on the fractional differential equation model. At the same time, this paper quantifies the shooting power of direct free kicks. In this paper, the resistance effect of air on the motion of the center of mass is considered. And the dynamic equation of the football arc motion is established. In this way, we obtain the analytical solution of the differential equation of order. The research shows that the correlation between the fitting equation of the football flight trajectory and the prediction equation is 96.55%. The algorithm model in this paper can effectively predict the flight path of football. The research theory of this paper provides a theoretical basis for football offensive training strategies.</p>
</abstract>

This paper establishes the parameters of the ball trajectory based on the fractional differential equation model. At the same time, this paper quantifies the shooting power of direct free kicks. In this paper, the resistance effect of air on the motion of the center of mass is considered. And the dynamic equation of the football arc motion is established. In this way, we obtain the analytical solution of the differential equation of order. The research shows that the correlation between the fitting equation of the football flight trajectory and the prediction equation is 96.55%. The algorithm model in this paper can effectively predict the flight path of football. The research theory of this paper provides a theoretical basis for football offensive training strategies.

Football Offense Training Strategy Based on Fractional Differential Mathematical Modeling

Applied Mathematics and Nonlinear Sciences

This work is licensed under the Creative Commons Attribution 4.0 International License.

This paper establishes the parameters of the ball trajectory based on the fractional differential equation model. At the same time, this paper quantifies the...

Football Offense Training Strategy Based on Fractional Differential Mathematical Modeling

Published Online: Jul 15, 2022

Page range: 1933 - 1940

Received: Apr 27, 2022

Accepted: Jun 28, 2022

DOI: https://doi.org/10.2478/amns.2022.2.0181

Keywords
Fractional differential equation, Football training, Ball drop point, Trajectory tracking, Football attacking strategy

© 2023 ShaoYong Liu et al., published by Sciendo

This work is licensed under the Creative Commons Attribution 4.0 International License.

Figure 1

Figure 2

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Football Offense Training Strategy Based on Fractional Differential Mathematical Modeling

Published Online: Jul 15, 2022

Page range: 1933 - 1940

Received: Apr 27, 2022

Accepted: Jun 28, 2022

DOI: https://doi.org/10.2478/amns.2022.2.0181

KeywordsFractional differential equation, Football training, Ball drop point, Trajectory tracking, Football attacking strategy

© 2023 ShaoYong Liu et al., published by Sciendo

This work is licensed under the Creative Commons Attribution 4.0 International License.

Figure 1

Figure 2

Figure 3

Keywords
Fractional differential equation, Football training, Ball drop point, Trajectory tracking, Football attacking strategy