On Applications of Fractional Derivatives in Circuit Theory

• Published in: 2020 27th International Conference on Mixed Design of Integrated Circuits and System (MIXDES) pp. 160 - 163
• Main Authors: Gulgowski, Jacek, Stefanski, Tomasz P., Trofimowicz, Damian
• Format: Conference Proceeding
• Language: English
• Published: Department of Microelectronics & Computer Science 01.06.2020
• Subjects: circuit simulation; Circuit theory; fractional calculus; Frequency-domain analysis; Integrated circuit modeling; Laplace equations; Mathematical model; Power transmission lines; Transmission line measurements; transmission lines

In this paper, concepts of fractional-order (FO) derivatives are discussed from the point of view of applications in the circuit theory. The properties of FO derivatives required for the circuit-level modelling are formulated. Potential problems related to the generalization of transmission line equ...