论文标题

使用Adomian方法和分数微分方程的随机建模

Stochastic modeling using Adomian method and fractionnal differential equations

论文作者

Adedje, Komla Elom, Barro, Diakarya

论文摘要

在本文中,我们提出了一个二分之一的分数差分方程,以在连续污染食品的连续摄入期间,通过不足的免疫系统进行积累和消除污染物的动力学时代的演变。这个过程将暴露于合并症患者(不母乳喂养的儿童,老年,孕妇)的受试者的毒素中。在建模过程中使用了Adomian分解方法和Riemann Liouville的分数整合。

In this paper, we propose a fractional differential equation of order one-half, to model the evolution through time of the dynamics of accumulation and elimination of the contaminant in human organism with a deficient immune system, during consecutive intakes of contaminated food. This process quantifies the exposure to toxins of subjects living with comorbidity (children not breast-fed, the elderly, pregnant women) to food-born diseases. The Adomian Decomposition Method and the fractional integration of Riemann Liouville are used in the modeling processes.

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