Fractional-order Memristor Response Under DC and Periodic Signals

Autor:	Ahmed G. Radwan, Mohamed E. Fouda
Rok vydání:	2014
Předmět:	Engineering business.industry Applied Mathematics Nonlinear circuits Memristor Topology law.invention law Signal Processing Electronic engineering Special case business Merge (version control) Network analysis Physical quantity
Zdroj:	Circuits, Systems, and Signal Processing. 34:961-970
ISSN:	1531-5878 0278-081X
DOI:	10.1007/s00034-014-9886-2
Popis:	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.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::a599326405ee7bfe8289b34c08a3381c https://doi.org/10.1007/s00034-014-9886-2 Zobrazit plný text záznamu Full text from SpringerLink