Reformulating the Classical Memristor Model

ABSTRACT In this article, we introduce an operator to replace the traditional memristance function in the classical memristor model. This approach transforms the nonlinear structure of the original model into a linear one. Under appropriate conditions, the operator can be further replaced by a fractional operator, maintaining the model's inherent linearity and expanding its applicability. Furthermore, we develop a fractional‐order dynamical memristor model that extends the memory representation to capture more complex dynamics. Finally, we provide numerical examples to illustrate the theoretical results.