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透过单数和非单数内核,洞察贝卢索夫-扎博丁斯基系统的时间分数动态
Shami A M Alsallami1, M Maneea2, E M Khalil3
1Mathematics Department, College of Sciences, Umm Al-Qura University, Makkah, 24381, Saudi Arabia.
Scientific reports
|December 15, 2023
概括
研究人员利用新的分数导数和双拉普拉斯法探索了时间分数贝卢索夫-扎博丁斯基反应. 这种方法为非线性动力学研究提供了准确,高效的解决方案.
科学领域:
- 非线性动力学是一种非线性动力学.
- 化学动力学 化学动力学
- 分数微积分的计算.
背景情况:
- 贝卢索夫-扎博丁斯基 (BZ) 反应是化学系统表现出复杂,非线性行为的经典例子.
- 了解BZ系统的动力学对于推进非线性动力学领域至关重要.
- 分数计算为模拟具有内存和遗传性质的复杂系统提供了一个强大的框架.
研究的目的:
- 介绍一种新的计算方法来解决时间分数Belousov-Zhabotinsky系统.
- 研究Caputo和Atangana-Baleanu Caputo分数衍生物在BZ反应建模中的应用.
- 分析分数顺序对系统动态的影响.
主要方法:
- 用双拉普拉斯变换法来导出分析解决方案.
- 获得了系列解决方案,以促进准确性评估.
- 解决方案的存在和独特性被严格证明.
主要成果:
- 拟议的方法提供了高度准确的解决方案,最小的计算力度.
- 这项研究证明了分数导数在捕捉BZ系统复杂动态方面的有效性.
- 图形表示 (2D和3D) 说明系统在不同的分数顺序和时间下的行为.
结论:
- 开发的技术为分析时间分数非线性系统提供了一种高效和精确的方法.
- 这些发现有助于通过分数动态的镜头更深入地了解贝洛索夫-扎博丁斯基反应.
- 这项研究证实了在模拟复杂化学反应时使用微积分计算的有效性.
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