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Fractional-order Memristor Response Under DC and Periodic Signals.

Authors :
Fouda, Mohamed
Radwan, Ahmed
Source :
Circuits, Systems & Signal Processing. Mar2015, Vol. 34 Issue 3, p961-970. 10p.
Publication Year :
2015

Abstract

Recently, there is an essential demand to extend the fundamentals of the conventional circuit theory to include the new generalized elements, fractional-order elements, and mem-elements due to their unique properties. This paper presents the relationships between seven different elements based on the four physical quantities and the fractional-order derivatives. One of them is the Fractional-order memristor, where the memristor dynamic is expressed by fractional-order derivative. This element merge the memristive and fractional-order concepts together where the conventional modeling becomes a special case. Moreover, the mathematical modeling of the fractional-order memristor is introduced. In addition, the response of applying DC, sinusoidal, and nonsinusoidal periodic signals is discussed. Finally, different numerical simulations are presented. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
0278081X
Volume :
34
Issue :
3
Database :
Academic Search Index
Journal :
Circuits, Systems & Signal Processing
Publication Type :
Academic Journal
Accession number :
101148473
Full Text :
https://doi.org/10.1007/s00034-014-9886-2