A Two-capacitor Problem with a Memcapacitor and a Conformal Fractional-Order Capacitor Put Together

Author:

PALAZ Utku1,MUTLU Reşat2

Affiliation:

1. Milli Eğitim Bakanlığı

2. NAMIK KEMAL UNIVERSITY

Abstract

Fractional-order capacitors and memcapacitors have become a major research area in recent decades. Analog applications of both circuit elements are getting more common. In literature, the conformal fractional derivative (CFD) is getting lots of interest due to its easiness to use and to comprehend. Some supercapacitors have already been modeled with the conformal fractional derivative. Two-capacitor problem is an important problem in physics. Recently, a two-capacitor problem with a CFD capacitor and an LTI capacitor has been examined. In this study, a two-capacitor problem, a circuit, which consists of a CFD capacitor and a memcapacitor, has been examined using simulations for the first time in literature. It is found that the circuit is in ever transient state.

Publisher

Namik Kemal University

Reference58 articles.

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2. X. J. Yang, General fractional derivatives: theory, methods, and applications, Chapman and Hall/CRC, 2019.

3. B. Ross, B, “The development of fractional calculus 1695– 1900”, Historia Mathematica, vol. 4, no.1, pp. 75-89, 1977.

4. A. A. Kilbas, H. M. Srivastava, J. J. Trujillo, Theory and Applications of Fractional Differential Equations, Elsevier, 2006.

5. A. Babiarz, A. Czornik, J. Klamka, and M. Niezabitowski, “Theory and applications of non-integer order systems,” Lecture Notes Electrical Engineering, 407, 2017.

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