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.