Fractional-order mathematical modeling and optimal control strategies for women's empowerment initiatives

IF 5.9 2区工程技术 Q1 ENGINEERING, MULTIDISCIPLINARY

Ain Shams Engineering Journal Pub Date : 2025-09-01 DOI:10.1016/j.asej.2025.103702

A. El-Mesady , Amr Elsonbaty , Kottakkaran Sooppy Nisar , Waleed Adel

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Abstract

Women's empowerment is essential for societal development, with government initiatives playing a pivotal role in this process. This study introduces a fractional-order mathematical model capturing the dynamics of women's empowerment, emphasizing the impact of governmental efforts. The population is divided into five compartments, reflecting the transition from initial challenges to full empowerment. An analytical investigation establishes the existence, uniqueness, positivity, and boundedness of the model's solutions. Stability and sensitivity analyses are performed to explore the effects of key parameters on the system's behavior. Additionally, a fractional-order optimal control model is proposed to help policymakers design effective control strategies. Using Pontryagin's Maximum Principle, we derive conditions for optimal control and compare controlled and uncontrolled scenarios to assess the impact of interventions. Simulation results show that integrated strategies, combining government support and policy interventions, accelerate empowerment outcomes. The fractional model captures the complex dynamic nature of empowerment and provides actionable insights for sustainable development.

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妇女赋权倡议的分数阶数学建模和最优控制策略

赋予妇女权力对社会发展至关重要，政府倡议在这一进程中发挥着关键作用。本研究引入一个分数阶数学模型，捕捉妇女赋权的动态，强调政府努力的影响。人口分为五个部分，反映了从最初的挑战到充分授权的过渡。通过分析研究，建立了模型解的存在性、唯一性、正性和有界性。进行了稳定性和灵敏度分析，探讨了关键参数对系统行为的影响。此外，还提出了分数阶最优控制模型，以帮助决策者设计有效的控制策略。利用庞特里亚金的最大值原理，我们推导了最优控制的条件，并比较了控制和不控制的情况，以评估干预的影响。模拟结果表明，政府支持和政策干预相结合的综合战略可以加速赋权成果。分数模式抓住了赋权的复杂动态本质，并为可持续发展提供了可行的见解。

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来源期刊

Ain Shams Engineering Journal Engineering-General Engineering

CiteScore

10.80

自引率

13.30%

发文量

441

审稿时长

49 weeks

期刊介绍： in Shams Engineering Journal is an international journal devoted to publication of peer reviewed original high-quality research papers and review papers in both traditional topics and those of emerging science and technology. Areas of both theoretical and fundamental interest as well as those concerning industrial applications, emerging instrumental techniques and those which have some practical application to an aspect of human endeavor, such as the preservation of the environment, health, waste disposal are welcome. The overall focus is on original and rigorous scientific research results which have generic significance. Ain Shams Engineering Journal focuses upon aspects of mechanical engineering, electrical engineering, civil engineering, chemical engineering, petroleum engineering, environmental engineering, architectural and urban planning engineering. Papers in which knowledge from other disciplines is integrated with engineering are especially welcome like nanotechnology, material sciences, and computational methods as well as applied basic sciences: engineering mathematics, physics and chemistry.