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New Perspective Aimed At Local Fractional Order Memristor Model On Cantor Sets

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  • 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)

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.

Suggested Citation

  • Yi-Ying Feng & Xiao-Jun Yang & Jian-Gen Liu & Zhan-Qing Chen, 2021. "New Perspective Aimed At Local Fractional Order Memristor Model On Cantor Sets," FRACTALS (fractals), World Scientific Publishing Co. Pte. Ltd., vol. 29(01), pages 1-6, February.
    • Handle: RePEc:wsi:fracta:v:29:y:2021:i:01:n:s0218348x21500110
    DOI: 10.1142/S0218348X21500110
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    Cited by:

    1. Feng, Yi-Ying & Yang, Xiao-Jun & Liu, Jian-Gen & Chen, Zhan-Qing, 2023. "Mechanical investigations of local fractional magnetorheological elastomers model on Cantor sets," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 621(C).

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