THERMAL SCIENCE

International Scientific Journal

Authors of this Paper

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Feng Gao

,

Xiao-Jun Yang

FRACTIONAL MAXWELL FLUID WITH FRACTIONAL DERIVATIVE WITHOUT SINGULAR KERNEL

ABSTRACT
In this paper we propose a new model for the fractional Maxwell fluid within fractional Caputo-Fabrizio derivative operator. We present the fractional Maxwell fluid in the differential form for the first time. The analytical results for the proposed model with the fractional Losada-Nieto integral operator are given to illustrate the efficiency of the fractional order operators to the line viscoelasticity.
KEYWORDS
fractional Maxwell fluid, fractional Caputo-Fabrizio derivative, fractional Losada-Nieto integral, analytical solution, line viscoelasticity
PAPER SUBMITTED: 2015-12-01
PAPER REVISED: 2016-01-18
PAPER ACCEPTED: 2016-02-23
PUBLISHED ONLINE: 2016-09-24
DOI REFERENCE: https://doi.org/10.2298/TSCI16S3871G
CITATION EXPORT: view in browser or download as text file
THERMAL SCIENCE YEAR 2016, VOLUME 20, ISSUE Supplement 3, PAGES [S871 - S877]
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Fractional Maxwell fluid with fractional derivative without singular kernel

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