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

<p>Based on fractional differential equations, this paper proposes an optimization modeling method for the mental health quality of vocational students. This article quantifies the psychology of higher vocational students from the perspective of fractional differential equations. At the same time, we use alertness to characterize the risk of mental fatigue and propose a mental health energy equation. We propose a mental health energy replenishment function and consumption function and describe mental health energy during sleep. Finally, we use fractional differential equations to reason about the model deductively. The research shows that it is feasible for us to apply fractional differential equations to predict the mental health problems of vocational students.</p>
</abstract>

Based on fractional differential equations, this paper proposes an optimization modeling method for the mental health quality of vocational students. This article quantifies the psychology of higher vocational students from the perspective of fractional differential equations. At the same time, we use alertness to characterize the risk of mental fatigue and propose a mental health energy equation. We propose a mental health energy replenishment function and consumption function and describe mental health energy during sleep. Finally, we use fractional differential equations to reason about the model deductively. The research shows that it is feasible for us to apply fractional differential equations to predict the mental health problems of vocational students.

The Mental Health Education Management of Higher Vocational Students Based on Fractional Differential Equations

Applied Mathematics and Nonlinear Sciences

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

Based on fractional differential equations, this paper proposes an optimization modeling method for the mental health quality of vocational students. This...

The Mental Health Education Management of Higher Vocational Students Based on Fractional Differential Equations

Published Online: Jul 15, 2022

Page range: 1077 - 1086

Received: Feb 18, 2022

Accepted: Apr 23, 2022

DOI: https://doi.org/10.2478/amns.2022.2.0092

Keywords
Fractional differential equation, Vocational students, Mental health education, Energy supplement

© 2023 Ting Zeng, published by Sciendo

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

Figure 1

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The Mental Health Education Management of Higher Vocational Students Based on Fractional Differential Equations

Published Online: Jul 15, 2022

Page range: 1077 - 1086

Received: Feb 18, 2022

Accepted: Apr 23, 2022

DOI: https://doi.org/10.2478/amns.2022.2.0092

KeywordsFractional differential equation, Vocational students, Mental health education, Energy supplement

© 2023 Ting Zeng, 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, Vocational students, Mental health education, Energy supplement