Fractional-Derivative Approximation of Relaxation in Complex Systems

المؤلفون المشاركون

Li, Kin M.
Sen, Mihir
Pacheco-Vega, Arturo

المصدر

Complexity

العدد

المجلد 2018، العدد 2018 (31 ديسمبر/كانون الأول 2018)، ص ص. 1-12، 12ص.

الناشر

Hindawi Publishing Corporation

تاريخ النشر

2018-11-08

دولة النشر

مصر

عدد الصفحات

12

التخصصات الرئيسية

الفلسفة

الملخص EN

In this paper, we present a system identification (SI) procedure that enables building linear time-dependent fractional-order differential equation (FDE) models able to accurately describe time-dependent behavior of complex systems.

The parameters in the models are the order of the equation, the coefficients in it, and, when necessary, the initial conditions.

The Caputo definition of the fractional derivative, and the Mittag-Leffler function, is used to obtain the corresponding solutions.

Since the set of parameters for the model and its initial conditions are nonunique, and there are small but significant differences in the predictions from the possible models thus obtained, the SI operation is carried out via global regression of an error-cost function by a simulated annealing optimization algorithm.

The SI approach is assessed by considering previously published experimental data from a shell-and-tube heat exchanger and a recently constructed multiroom building test bed.

The results show that the proposed model is reliable within the interpolation domain but cannot be used with confidence for predictions outside this region.

However, the proposed system identification methodology is robust and can be used to derive accurate and compact models from experimental data.

In addition, given a functional form of a fractional-order differential equation model, as new data become available, the SI technique can be used to expand the region of reliability of the resulting model.

نمط استشهاد جمعية علماء النفس الأمريكية (APA)

Li, Kin M.& Sen, Mihir& Pacheco-Vega, Arturo. 2018. Fractional-Derivative Approximation of Relaxation in Complex Systems. Complexity،Vol. 2018, no. 2018, pp.1-12.
https://search.emarefa.net/detail/BIM-1136125

نمط استشهاد الجمعية الأمريكية للغات الحديثة (MLA)

Li, Kin M.…[et al.]. Fractional-Derivative Approximation of Relaxation in Complex Systems. Complexity No. 2018 (2018), pp.1-12.
https://search.emarefa.net/detail/BIM-1136125

نمط استشهاد الجمعية الطبية الأمريكية (AMA)

Li, Kin M.& Sen, Mihir& Pacheco-Vega, Arturo. Fractional-Derivative Approximation of Relaxation in Complex Systems. Complexity. 2018. Vol. 2018, no. 2018, pp.1-12.
https://search.emarefa.net/detail/BIM-1136125

نوع البيانات

مقالات

لغة النص

الإنجليزية

الملاحظات

Includes bibliographical references

رقم السجل

BIM-1136125