NEW PERSPECTIVE AIMED AT LOCAL FRACTIONAL ORDER MEMRISTOR MODEL ON CANTOR SETS

Yi-Ying Feng, Xiao-Jun Yang, Jian-Gen Liu and Zhan-Qing Chen
Additional contact information
Yi-Ying Feng: School of Mechanics and Civil Engineering, China University of Mining and Technology, Xuzhou, Jiangsu 221116, P. R. China†State Key Laboratory for Geomechanics and Deep Underground Engineering, China University of Mining and Technology, Xuzhou, Jiangsu 221116, P. R. China
Xiao-Jun Yang: School of Mechanics and Civil Engineering, China University of Mining and Technology, Xuzhou, Jiangsu 221116, P. R. China†State Key Laboratory for Geomechanics and Deep Underground Engineering, China University of Mining and Technology, Xuzhou, Jiangsu 221116, P. R. China‡School of Mathematics, China University of Mining and Technology, Xuzhou, Jiangsu 221116, P. R. China
Jian-Gen Liu: ��State Key Laboratory for Geomechanics and Deep Underground Engineering, China University of Mining and Technology, Xuzhou, Jiangsu 221116, P. R. China‡School of Mathematics, China University of Mining and Technology, Xuzhou, Jiangsu 221116, P. R. China
Zhan-Qing Chen: School of Mechanics and Civil Engineering, China University of Mining and Technology, Xuzhou, Jiangsu 221116, P. R. China†State Key Laboratory for Geomechanics and Deep Underground Engineering, China University of Mining and Technology, Xuzhou, Jiangsu 221116, P. R. China

FRACTALS (fractals), 2021, vol. 29, issue 01, 1-6

Abstract: In this paper, we structure the idea of the fractal memristor to simulate the nonlinear self-similarity dopant drift effect for the first time. We investigate the fractal memristor device with the use of the local fractional Laplace transform, and the dynamic fractal behavior of the fractal HP TiO2 memristor model is simulated by changing the integer order of traditional memristor model to ln2 ln3. Compared with the traditional model, the fractal memristor can be well-presented in describing the non-differentiable dopant drift effect.

Keywords: Local Fractional Calculus; Memristor; Laplace Transform; Nonlinear Self-Similarity (search for similar items in EconPapers)
Date: 2021
References: Add references at CitEc
Citations: View citations in EconPapers (1)

Downloads: (external link)
http://www.worldscientific.com/doi/abs/10.1142/S0218348X21500110
Access to full text is restricted to subscribers

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:wsi:fracta:v:29:y:2021:i:01:n:s0218348x21500110

Ordering information: This journal article can be ordered from

DOI: 10.1142/S0218348X21500110

Access Statistics for this article

FRACTALS (fractals) is currently edited by Tara Taylor

More articles in FRACTALS (fractals) from World Scientific Publishing Co. Pte. Ltd.
Bibliographic data for series maintained by Tai Tone Lim ().