Using machine learning techniques to investigate a discreet type mathematical model of psychological mental disease

Recently machine learning techniques have attracted much attention. Artificial intelligence (AI) techniques using deep neural networks (DNNs) have given proper attention by researchers in the last few years. Various problems have been studied by using the mentioned tools. A mathematical model for psychological mental disorder with harmonic mean type incidence rate is formulated. World wide, the psychological diseases have produced very harmful impact on human life. For instance anxiety and depression are common every where and large numbers of people are suffering from such situation. Since, mathematical models are the best tools to investigate such diseases for further comprehensive analysis which help therapists and medical experts to cure their patients. We use the discrete type difference operator of fractional order to analyze the considered model and compute its fundamental components like equilibrium points, positivity boundedness and reproductive number. Also, the qualitative theory for the existence of solution has been deduced. Numerical interpretations against various fractional orders are illustrated to demonstrate the results graphically.

Authors

Publication Details

Journal
Alexandria Engineering Journal
Published
2025-11-20
DOI
https://doi.org/10.1016/j.aej.2025.11.017
Citations
1
Primary Topic
Fractional Differential Equations Solutions
Type
article
Field-Weighted Citation Impact
1.37
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article

Using machine learning techniques to investigate a discreet type mathematical model of psychological mental disease

Thabet Abdeljawad, Samia Bushnaq, Thanin Sitthiwirattham, Kamal Shah et al.
1 citations
Alexandria Engineering Journal
Fractional Differential Equations Solutions
1.37
article

Using machine learning techniques to investigate a discreet type mathematical model of psychological mental disease

Thabet Abdeljawad, Samia Bushnaq, Thanin Sitthiwirattham, Kamal Shah, Jiraporn Pongsopa
article en
1 citations

Abstract

Recently machine learning techniques have attracted much attention. Artificial intelligence (AI) techniques using deep neural networks (DNNs) have given proper attention by researchers in the last few years. Various problems have been studied by using the mentioned tools. A mathematical model for psychological mental disorder with harmonic mean type incidence rate is formulated. World wide, the psychological diseases have produced very harmful impact on human life. For instance anxiety and depression are common every where and large numbers of people are suffering from such situation. Since, mathematical models are the best tools to investigate such diseases for further comprehensive analysis which help therapists and medical experts to cure their patients. We use the discrete type difference operator of fractional order to analyze the considered model and compute its fundamental components like equilibrium points, positivity boundedness and reproductive number. Also, the qualitative theory for the existence of solution has been deduced. Numerical interpretations against various fractional orders are illustrated to demonstrate the results graphically.

Alexandria Engineering JournalVol. 133
Openalex Percentile: Top 15%
Fractional Differential Equations Solutions
1.37
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