## THERMAL SCIENCE

International Scientific Journal

### 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**

PAPER SUBMITTED: 2019-02-20

PAPER REVISED: 2019-03-13

PAPER ACCEPTED: 2019-03-28

PUBLISHED ONLINE: 2019-06-08

**THERMAL SCIENCE** YEAR

**2019**, VOLUME

**23**, ISSUE

**3**, PAGES [1555 - 1561]

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