Fractional memristor

Frank Zhigang Wang, Luping Shi, Huaqiang Wu, Na Helian, Leon O Chua

Research output: Contribution to journalArticlepeer-review

11 Citations (Scopus)
66 Downloads (Pure)


Based on the differential conformal transformation in the fractional order, we defined the fractional memristor in contrast to the traditional (integer-order) memristor. As an example, a typical spin-transfer torque (STT) memristor (with the asymmetric resistance hysteresis) was proved to be a 0.8 fractional memristor. In conclusion, many memristors should not be treated as ideal ones due to the fractional interaction between flux and charge. Indeed, unless a non-ideal memristor is properly modelled as a fractional memristor, no deep physical understanding would be possible to develop a reliable commercial product.
Original languageEnglish
Article number243502
JournalApplied Physics Letters
Issue number24
Publication statusPublished - 11 Dec 2017


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