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Analysis of fractional blood alcohol model with composite fractional derivative
Chaos, Solitons & Fractals ( IF 5.3 ) Pub Date : 2020-08-05 , DOI: 10.1016/j.chaos.2020.110127
Jagdev Singh

The present article deals with certain new and interesting features of fractional blood alcohol model associated with powerful Hilfer fractional operator. The solution of the model depends on three parameters such as (i) the initial concentration of alcohol in stomach after ingestion (ii) the rate of alcohol absorption into the blood stream (ii) the rate at which the alcohol is metabolized by the liver. By employing Sumudu transform algorithm the analytic results of the concentration of alcohol in stomach and the concentration of alcohol in the blood are analyzed. The general solution of concentration of alcohol in stomach and the concentration of alcohol in the blood are demonstrated in the form of extended Mittag-Leffler function. The effect of fractional parameter on concentration of alcohol in stomach and the concentration of alcohol in the blood are shown in graphical form. The comparative study for both the concentrations shows the new features of composite fractional derivative in the discussed model. The discussed fractional blood alcohol model yields important and useful results to interpolate new information in the direction of medical environment.



中文翻译:

复合分数导数分析血液酒精分数模型

本文讨论了与强大的Hilfer分数运算符相关的分数血液酒精模型的某些新的有趣特征。模型的求解取决于三个参数,例如(i)摄入后胃中酒精的初始浓度(ii)酒精吸收到血流中的速率(ii)酒精被肝脏代谢的速率。采用Sumudu变换算法,分析了胃中酒精浓度和血液中酒精浓度的分析结果。胃中酒精浓度和血液中酒精浓度的一般解决方案以扩展的Mittag-Leffler功能形式证明。分数参数对胃中酒精浓度和血液中酒精浓度的影响以图形形式显示。两种浓度的比较研究显示了所讨论模型中复合分数导数的新特征。所讨论的血液酒精分数模型产生了重要且有用的结果,可以在医学环境的方向上内插新信息。

更新日期:2020-08-06
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