<abstract xmlns="http://www.w3.org/1999/xhtml">

<p>In recent years, due to its non-volatile memory, non-locality, and weak singularity features, fractional calculations have begun to take place frequently in artificial neural network implementations and learning algorithms. Therefore, there is a need for circuit element implementations providing fractional function behaviors for the physical realization of these neural networks. In this study, a previously defined integer order memristor element equation is changed and a fractional order memristor is given in a similar structure. By using the obtained mathematical equation, frequency-dependent pinched hysteresis loops are obtained. A memristance simulator circuit that provides the proposed mathematical relationship is proposed. Spice simulations of the circuit are run and it is seen that they are in good agreement with the theory. Also, the non-volatility feature has been demonstrated with Spice simulations. The proposed circuit can be realized by using the integrated circuit elements available on the market. With a small connection change, the proposed structure can be used to produce both positive and negative memristance values.</p>
</abstract>

In recent years, due to its non-volatile memory, non-locality, and weak singularity features, fractional calculations have begun to take place frequently in artificial neural network implementations and learning algorithms. Therefore, there is a need for circuit element implementations providing fractional function behaviors for the physical realization of these neural networks. In this study, a previously defined integer order memristor element equation is changed and a fractional order memristor is given in a similar structure. By using the obtained mathematical equation, frequency-dependent pinched hysteresis loops are obtained. A memristance simulator circuit that provides the proposed mathematical relationship is proposed. Spice simulations of the circuit are run and it is seen that they are in good agreement with the theory. Also, the non-volatility feature has been demonstrated with Spice simulations. The proposed circuit can be realized by using the integrated circuit elements available on the market. With a small connection change, the proposed structure can be used to produce both positive and negative memristance values.

Second Generation Current Conveyor Based Floating Fractional Order Memristance Simulator and a New Dynamical System

Electronics and Communications Department

Cybernetics and Information Technologies

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

In recent years, due to its non-volatile memory, non-locality, and weak singularity features, fractional calculations have begun to take place frequently in...

Second Generation Current Conveyor Based Floating Fractional Order Memristance Simulator and a New Dynamical System

Published Online: Sep 13, 2020

Page range: 68 - 80

Received: Mar 10, 2020

Accepted: May 08, 2020

DOI: https://doi.org/10.2478/cait-2020-0041

Keywords
Memristor, Memristance Simulator, Fractional Order, Circuit Implementation, ANN Realization, ANN Hardware

© 2020 Zehra Gülru Çam Taşkıran et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Second Generation Current Conveyor Based Floating Fractional Order Memristance Simulator and a New Dynamical System

Published Online: Sep 13, 2020

Page range: 68 - 80

Received: Mar 10, 2020

Accepted: May 08, 2020

DOI: https://doi.org/10.2478/cait-2020-0041

KeywordsMemristor, Memristance Simulator, Fractional Order, Circuit Implementation, ANN Realization, ANN Hardware

© 2020 Zehra Gülru Çam Taşkıran et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Keywords
Memristor, Memristance Simulator, Fractional Order, Circuit Implementation, ANN Realization, ANN Hardware