Applied Mathematics and Nonlinear Sciences
Journal license

Journal

Applied Mathematics and Nonlinear Sciences


Volume
& Issue

Volume 7, Issue 2


Published
on

July 15, 2022


Pages

1077-1086


DOI

Article

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

Check for updates


Authors

Ting Zeng Affiliation:
Wuhan Technical College of Communications, Wuhan 430065, China,


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.


Keywords

Fractional differential equation, Vocational students, Mental health education, Energy supplement, 34A08


Citation

Zeng, T. (2022). The mental health education management of higher vocational students based on fractional differential equations. Applied Mathematics and Nonlinear Sciences, 7(2), 1077–1086. https://doi.org/10.2478/amns.2022.2.0092

Published by: Engineering Journals

Engineering Journals Logo