THERMAL SCIENCE

International Scientific Journal

Xiao-Jun YangORCID

,

Feng GaoORCID

,

Hong-Wen JingORCID

NEW MATHEMATICAL MODELS IN ANOMALOUS VISCOELASTICITY FROM THE DERIVATIVE WITH RESPECT TO ANOTHER FUNCTION VIEW POINT

ABSTRACT
In this article, we address the mathematical models in anomalous viscoelasticity containing the derivatives with respect to another function for the first time. The Newton-like, Maxwell-like, Kelvin-Voigt-like, Burgers-like, and Zener-like models via the new derivatives with respect to another functions are discussed in detail. The results for the calculus with respect to another function are as a new perspective proposed to present the better accuracy and efficiency in the descriptions of the complex behaviors of the materials.
KEYWORDS
viscoelasticity, derivative with respect to another function, integral with respect to another function, calculus with respect to another function
PAPER SUBMITTED: 2019-02-20
PAPER REVISED: 2019-03-13
PAPER ACCEPTED: 2019-03-28
PUBLISHED ONLINE: 2019-06-08
DOI REFERENCE: https://doi.org/10.2298/TSCI190220277Y
CITATION EXPORT: view in browser or download as text file
THERMAL SCIENCE YEAR 2019, VOLUME 23, ISSUE No. 3, PAGES [1555 - 1561]
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New mathematical models in anomalous viscoelasticity from the derivative with respect to another function view point

© 2026 Society of Thermal Engineers of Serbia. Published by the Vinča Institute of Nuclear Sciences, National Institute of the Republic of Serbia, Belgrade, Serbia. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution-NonCommercial-NoDerivs 4.0 International licence