1. On overall behavior of Maxwell mechanical model by the combined Caputo fractional derivative
- Author
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Yi-Ying Feng, Xiao-Jun Yang, and Jian-Gen Liu
- Subjects
Work (thermodynamics) ,Laplace transform ,0103 physical sciences ,General Physics and Astronomy ,Applied mathematics ,Extension (predicate logic) ,Strain response ,010306 general physics ,01 natural sciences ,Lower limit ,010305 fluids & plasmas ,Mathematics ,Fractional calculus - Abstract
The primary purpose of this paper is to analyze the overall behavior of fractional Maxwell model. The approach used in our study is known as the combined Caputo fractional derivative with pioneer work: the extension Laplace transform (ELT) which broaden the lower limit of the classical Laplace transform. Through the ELT and the Stehfest method, we obtain the strain response of the fractional Maxwell model with different parameters. It is concluded that the obtained results show the variation trend of strain response in a more accurate way.
- Published
- 2020
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