TY - JOUR
TI - New mathematical models in anomalous viscoelasticity from the derivative with respect to another function view point
AU - Yang Xiao-Jun
AU - Gao Feng
AU - Jing Hong-Wen
JN - Thermal Science
PY - 2019
VL - 23
IS - 3
SP - 1555
EP - 1561
PT - Article
AB - 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.