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

<p>This paper uses fractional differential equations to evaluate the mental health of college students. The author first proposes different emotional possibility spaces, such as emotional energy, emotional intensity, and emotional entropy. Secondly, this paper uses Markov chains, fractional differential equations, and other methods to construct emotional models. Its function is a description of psychological characteristics and psychological conditions. Finally, numerical simulations are used to apply the proposed model. This model can well reflect the autonomous transmission of human emotions. This model can provide a new method for establishing the mathematical model of the mental intelligence evaluation system and the mental decision-making system.</p>
</abstract>

This paper uses fractional differential equations to evaluate the mental health of college students. The author first proposes different emotional possibility spaces, such as emotional energy, emotional intensity, and emotional entropy. Secondly, this paper uses Markov chains, fractional differential equations, and other methods to construct emotional models. Its function is a description of psychological characteristics and psychological conditions. Finally, numerical simulations are used to apply the proposed model. This model can well reflect the autonomous transmission of human emotions. This model can provide a new method for establishing the mathematical model of the mental intelligence evaluation system and the mental decision-making system.

The Evaluation Model of College Students’ Mental Health Under the Fractional Differential Equation

Applied Mathematics and Nonlinear Sciences

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

This paper uses fractional differential equations to evaluate the mental health of college students. The author first proposes different emotional possibility...

The Evaluation Model of College Students’ Mental Health Under the Fractional Differential Equation

Published Online: Apr 28, 2023

Page range: 3217 - 3228

Received: Mar 23, 2022

Accepted: Jul 05, 2022

DOI: https://doi.org/10.2478/amns.2023.1.00032

Keywords
Mental health of college students, Fractional differential equation, Mental health assessment, Markov chain, Affective model

© 2023 Linjun Zhang, published by Sciendo

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

The Evaluation Model of College Students’ Mental Health Under the Fractional Differential Equation

Published Online: Apr 28, 2023

Page range: 3217 - 3228

Received: Mar 23, 2022

Accepted: Jul 05, 2022

DOI: https://doi.org/10.2478/amns.2023.1.00032

KeywordsMental health of college students, Fractional differential equation, Mental health assessment, Markov chain, Affective model

© 2023 Linjun Zhang, published by Sciendo

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

Keywords
Mental health of college students, Fractional differential equation, Mental health assessment, Markov chain, Affective model