caa a22 4500 606205675 CHVBK 20210128101008.0 cr unu---uuuuu 210128e20150301xx s 000 0 eng 10.1007/s00034-014-9886-2 doi (NATIONALLICENCE)springer-10.1007/s00034-014-9886-2 Fractional-order Memristor Response Under DC and Periodic Signals [Elektronische Daten] [Mohamed Fouda, Ahmed Radwan] 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. Springer Science+Business Media New York, 2014 Fractional-order elements nationallicence Constant phase elements nationallicence Memristor nationallicence Mem-element nationallicence Nonlinear circuits nationallicence Memristive circuits nationallicence Fouda Mohamed Engineering Mathematics and Physics Department, Cairo University, 12613, Giza, Egypt aut Radwan Ahmed Engineering Mathematics and Physics Department, Cairo University, 12613, Giza, Egypt aut Circuits, Systems, and Signal Processing Springer US; http://www.springer-ny.com 34/3(2015-03-01), 961-970 0278-081X 34:3<961 2015 34 34 https://doi.org/10.1007/s00034-014-9886-2 text/html Onlinezugriff via DOI BK010053 XK010053 XK010000 Metadata rights reserved Springer special CC-BY-NC licence nationallicence 1 research-article jats NATIONALLICENCE NATIONALLICENCE NL-springer NATIONALLICENCE 856 40 https://doi.org/10.1007/s00034-014-9886-2 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Fouda Mohamed Engineering Mathematics and Physics Department, Cairo University, 12613, Giza, Egypt aut NATIONALLICENCE 700 1- Radwan Ahmed Engineering Mathematics and Physics Department, Cairo University, 12613, Giza, Egypt aut NATIONALLICENCE 773 0- Circuits, Systems, and Signal Processing Springer US; http://www.springer-ny.com 34/3(2015-03-01), 961-970 0278-081X 34:3<961 2015 34 34