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Forward and inverse techniques for fuzzy fractional systems applied to radon transport in soil chambers
Chaos, Solitons & Fractals ( IF 7.8 ) Pub Date : 2021-04-25 , DOI: 10.1016/j.chaos.2021.110916
T.D. Rao , S. Chakraverty

This targeted work deals with the forward and inverse approaches to handle fractional radon diffusion problems in an uncertain environment. In general, fractional differential equations may model certain problems more efficiently than differential equations of integer order. As such, this work proposes Mittage-Leffler function method to handle fuzzy fractional radon transport mechanism. Further, inverse methods are used to estimate the unknown parameters that characterize the physical systems when data from experimental measurements are already known. As such, a fractional Euler type inverse approach is also proposed in this work to estimate the involved fuzzy parameters. Finally, for the validation of the results, we have used the experimental data and crisp models.



中文翻译:

模糊分数系统的正反技术在土壤室内chamber运输中的应用

这项有针对性的工作涉及在不确定环境中处理分数ra扩散问题的正向和反向方法。通常,分数阶微分方程可以比整数阶微分方程更有效地建模某些问题。因此,这项工作提出了Mittage-Leffler函数方法来处理模糊分数ra运输机制。此外,当已知来自实验测量的数据时,可使用逆方法来估计表征物理系统的未知参数。因此,在这项工作中还提出了分数欧拉类型逆方法来估计所涉及的模糊参数。最后,为了验证结果,我们使用了实验数据和清晰的模型。

更新日期:2021-04-26
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