A new modeled fractional-order memristor and its analysis in series circuit

Fractional calculus is believed ubiquitous in the natural world, the newcomer of circuit element named memristor should also contain this character. In this paper, we introduce a new model we called triple-order charge control fractional-order memristor, which is more general for researchers to use. We studied the characteristic of this element itself and proved some conclusions in the former paper. On this basis, we go further and discuss some conditions which will be problem in the future study of memristor. The effects of parameters (fractional order a) are theoretically analyzed with the help of new model. We separate the conditions into four parts and compare the difference between them. These analyze represent the development of memristor and we think our work will help to do further research in the future.