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Alsaedi A, Nieto JJ, Venktesh V. Fractional electrical circuits. Advances in Mechanical Engineering. 2015 Dec 1; 7 (12): 168781401561812.Search in Google Scholar
Al-Refai M, Abdeljawad T. Analysis of the fractional diffusion equations with fractional derivative of non-singular kernel. Adv Differ Equ. 2017; (1): 315.Search in Google Scholar
M. Batiha I, A. Njadat S, M. Batyha R, Zraiqat A, Dababneh A, Momani S. Design Fractional-order PID Controllers for Single-Joint Robot Arm Model. ijasca. 2022 Aug 1; 14 (2): 97–114.Search in Google Scholar
Chen W, HongGuang S, Xicheng L. Fractional Derivative Modeling in Mechanics and Engineering. 1st ed. Springer; 2022. 385 p.Search in Google Scholar
El-Khazali R, Tawalbeh N. Realization of Fractional-Order Capacitors and Inductors. In: Proceedings of The 5th Workshop on Fractional Differetiation and its Applications. Hohai University, Nanjing, China; 2012; 1–6.Search in Google Scholar
Correa-Escudero IL, Gómez-Aguilar JF, López-López MG, Alvarado-Martínez VM, Baleanu D. Correcting dimensional mismatch in fractional models with power, exponential and proportional kernel: Application to electrical systems. Results in Physics. 2022 Sep; 40:105867.Search in Google Scholar
Evangelista LR, Lenzi EK. An introduction to anomalous diffusion and relaxation. Cham, Switzerland: Springer Nature; 2023. 400 p.Search in Google Scholar
Hidalgo-Reyes JI, Gómez-Aguilar JF, Escobar-Jiménez RF, Alvarado-Martínez VM, López-López MG. Classical and fractional-order modeling of equivalent electrical circuits for supercapacitors and batteries, energy management strategies for hybrid systems and methods for the state of charge estimation: A state of the art review. Microelectronics Journal. 2019 Mar; 85:109–28.Search in Google Scholar
Hidalgo-Reyes JI, Gómez-Aguilar JF, Escobar-Jimenez RF, Alvarado-Martinez VM, Lopez-Lopez MG. Determination of supercapacitor parameters based on fractional differential equations. Int J Circ Theor Appl. 2019 May 22; cta.2640.Search in Google Scholar
Kaczorek T. Analysis of Fractional Electrical Circuits in Transient States. In Logitrans - VII Konferencja Naukowo-Techniczna; 2010; 1695–704.Search in Google Scholar
Kaczorek T, Rogowski K. Fractional Linear Systems and Electrical Circuits. Springer International Publishing; 2015. (Studies in Systems, Decision and Control; vol. 13). https://link.springer.com/10.1007/978-3-319-11361-6Search in Google Scholar
Krishna BT, Reddy KVVS. Active and Passive Realization of Fractance Device of Order 1/2. Active and Passive Electronic Components. 2008;2008:1–5.Search in Google Scholar
Kumar N, Upadhyay DK. Fractional Order Digital Differentiator with Linear Phase and Low Absolute Error. International Journal of Electronic and Electrical Engineering. 2014;7(5):491–6.Search in Google Scholar
Mitkowski W, Bauer W, Zagórowska M. RC-ladder networks with supercapacitors. Archives of Electrical Engineering.2018; 67 (2): 377–89.Search in Google Scholar
Mitkowski W, Długosz M, Skruch P. Selected Engineering Applications of Fractional-Order Calculus. In: Kulczycki P, Korbicz J, Kacprzyk J, editors. Fractional Dynamical Systems: Methods, Algorithms and Applications [Internet]. Cham: Springer International Publishing; 2022 [cited 2023 Sep 7]. p. 333–59. (Studies in Systems, Decision and Control; vol. 402). Available from: https://link.springer.com/10.1007/978-3-030-89972-1_12Search in Google Scholar
Petras I, Sierociuk D, Podlubny I. Identification of Parameters of a Half-Order System. IEEE Trans Signal Process. 2012 Oct; 60 (10): 5561–6.Search in Google Scholar
Piotrowska E. Analysis of fractional capacitor and coil by the use of the Conformable Fractional Derivative and Caputo definitions. In: 2018 International Interdisciplinary PhD Workshop (IIPhDW). Swinoujście: IEEE. 2018; 103–7. https://ieeexplore.ieee.org/document/8388335/Search in Google Scholar
Piotrowska E, Rogowski K. Analysis of Fractional Electrical Circuit Using Caputo and Conformable Derivative Definitions. In: Ostalczyk P, Sankowski D, Nowakowski J, editors. Non-Integer Order Calculus and its Applications: Springer International Publishing; 2019, p. 183–94. (Lecture Notes in Electrical Engineering; vol. 496). http://link.springer.com/10.1007/978-3-319-78458-8_16Search in Google Scholar
Podlubny I, Petráš I, Vinagre BM, O’Leary P, Dorčák Ľ. Analogue Realization of Fractional-Order Controlers. Nonlinear Dynamics. 2002;29(1/4):281–96.Search in Google Scholar
Pu Yifei, Yuan Xiao, Liao Ke, Zhou Jiliu, Zhang Ni, Zeng Yi, et al. Structuring Analog Fractance Circuit for 1/2 Order Fractional Calculus. In: 2005 6th International Conference on ASIC. Shanghai, China: IEEE; 2005, 1039–42. http://ieeexplore.ieee.org/document/1611507/Search in Google Scholar
Sene N, Gómez-Aguilar JF. Analytical solutions of electrical circuits considering certain generalized fractional derivatives. Eur Phys J Plus. 2019 Jun;134(6):260.Search in Google Scholar
Sierociuk D, Skovranek T, Macias M, Podlubny I, Petras I, Dzielinski A, et al. Diffusion process modeling by using fractional-order models. Applied Mathematics and Computation. 2015; 257:2–11.Search in Google Scholar
Sierociuk D, Dzieliński A. Ultracapacitor Modelling and Control Using Discrete Fractional Order State-Space Model. Acta Montanistica Slovaca. 2008;13(1):136–45.Search in Google Scholar
Skovranek T, Macias M, Sierociuk D, Malesza W, Dzielinski A, Podlubny I, et al. Anomalous diffusion modeling using ultracapacitors in domino ladder circuit. Microelectronics Journal. 2019; 84:136–41.Search in Google Scholar
Tapadar A, Khanday FA, Sen S, Adhikary A. Fractional calculus in electronic circuits: a review. In: Fractional Order Systems [Internet]. Elsevier; 2022 [cited 2023 Sep 7]. p. 441–82. Available from: https://linkinghub.elsevier.com/retrieve/pii/B978012824293300018Search in Google Scholar
Yang XJ. General fractional derivatives: theory, methods and applications. Boca Raton, FL: CRC Press, Taylor & Francis Group; 2019.Search in Google Scholar
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