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A NEW GENERAL FRACTIONAL DERIVATIVE RELAXATION PHENOMENON.

Authors :
Xiao-Jun YANG
ALSOLAMI, Abdulrahman Ali
NADEEM, Sohail
Source :
Thermal Science. 2023, Vol. 27 Issue 1B, p721-726. 6p.
Publication Year :
2023

Abstract

This article addresses a novel anomalous relaxation model with the new general fractional derivative of the Sonine kernel. This operator is considered in the sense of general fractional derivative proposed in the work [Yang et al., General fractional derivatives with applications in viscoelasticity, Academic Press, New York, USA, 2020]. The solution of the mathematical model is obtained with the aid of Laplace transform. The comparison among the classical and anomalous relaxation models is discussed in detail. This result is proposed as a mathematical tool to model the anomalous relaxation behavior of the complex materials. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
03549836
Volume :
27
Issue :
1B
Database :
Academic Search Index
Journal :
Thermal Science
Publication Type :
Academic Journal
Accession number :
162520194
Full Text :
https://doi.org/10.2298/TSCI2301721Y