THERMAL SCIENCE

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Xiao-Jun Yang

NEW GENERAL CALCULI WITH RESPECT TO ANOTHER FUNCTIONS APPLIED TO DESCRIBE THE NEWTON-LIKE DASHPOT MODELS IN ANOMALOUS VISCOELASTICITY

ABSTRACT
In this article, we address the general derivatives and integrals with respect to another function for the first time. We consider the new perspective in anomalous viscoelasticity containing the general derivatives with respect to another functions containing the power-law, exponential, and logarithmic functions. The results are accurate and efficient in the descriptions of the complex behaviors of the materials.
KEYWORDS
general derivatives, general integrals, general calculi, anomalous viscoelasticity, dashpot
PAPER SUBMITTED: 2018-09-21
PAPER REVISED: 2019-01-13
PAPER ACCEPTED: 2019-02-18
PUBLISHED ONLINE: 2019-06-08
DOI REFERENCE: https://doi.org/10.2298/TSCI180921260Y
CITATION EXPORT: view in browser or download as text file
THERMAL SCIENCE YEAR 2019, VOLUME 23, ISSUE Issue 6, PAGES [3751 - 3757]
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New general calculi with respect to another functions applied to describe the Newton-like dashpot models in anomalous viscoelasticity

© 2024 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