Fractional Order Circuits OverviewThe invention of the fractional order circuit elements concept has opened the doors to numerous applications with exceptional performance, which were not achievable for integer order standard circuit elements like inductors and capacitors. In contrast to the traditional elements, a fractional element is a function of the parameter value (C or L) and the fractional order a, which brings in immense freedom and versatility towards design and applications. The concept has already found its utility in many applications of electromagnetics, mechanics, signal processing, bioengineering, agriculture and control. We have found many interesting utilities of the fractional concept in RF and microwave domain. Initial investigations predict a paradigm shift in fundamental concepts and techniques traditionally used for these designs. Collaborators: Prof. Shaher Momani , Prof. Ahmed Elwakil, Dr. Ahmed Radwan and Dr. Atif Shamim References: Journals Agambayev, K. H. Rajab, A. H. Hassan, M. Farhat, H. Bagci, and K. N. Salama Towards fractional-order capacitors with broad tunable constant phase angles: Multi-walled carbon nanotube-polymer composite as a case study" J. Phys. D: Appl. Phys. 51 065602, 2018 Ndoye, Ibrahima; Salama, Khaled Nabil; Laleg-Kirati , Taous-Meriem,"Robust Fractional-Order Proportional-Integral Observer for Synchronization of Chaotic Fractional-Order Systems" IEEE/CAA Journal of Automatica Sinica, 2018 DOI: 10.1109/JAS.2017.7510874 Agamyrat Agambayev, Shashikant P.Patole, Ahmed Elwakil, Hakan Bagci and Khaled N.Salama "Tunable fractional-order capacitor using layered ferroelectric polymers", AIP Advances 7, 095202 (2017); doi: h10.1063/1.4991659 Agamyrat Agambayev, Shashikant P.Patole, Mohamed Farhat, Ahmed Elwakil, Hakan Bagci and Khaled N.Salama "Tunable Ferroelectric Fractional-Order Capacitors", ChemElectroChem, accepted 2017 S. Elwakil, A. Agambayev, A. Allaguie, K. N. Salama, "Experimental Demonstration of Fractional-Order Oscillators of Orders 2.6 and 2.7," Chaos, Solitons & Fractals, Vol 96, pp. 160-164, 2017 Georgia Tsirimokou, Costas Psychalinos , Ahmed S. Elwakil and Khaled N. Salama "Electronically Tunable Fully Integrated Fractional-Order Resonator", IEEE Transactions on Circuits and Systems II:Express Briefs, in press 2017 DOI: 10.1109/TCSII.2017.2684710 Georgia Tsirimokou, Costas Psychalinos, Ahmed Elwakil and khaled salama, "salama, "Experimental Verification of on Chip CMOS Fractional-Order Capacitor Emulators, Electronics Letters, Volume 52, Issue 15, p. 1298 – 1300, 2016 (10.1049/el.2016.1457 ) Georgia Tsirimokou, Costas Psychalinos , Ahmed S. Elwakil and Khaled N. Salama "Experimental Behavior Evaluation of Series and Parallel Connected Constant Phase Elements," International Journal of Electronics and Communications, vol 74, pp 5-12, 2017 G. Radwan, K. Moaddy, K.N. Salama, S. Momani, and I. Hashim, Control and switching synchronization of fractionalorder chaotic systems using active control technique, Journal of Advanced Research, Volume 5, Issue 1, Pages 125–132, 2014. M. Elshurafa, Mahmoud N. Almadhoun, K. N. Salama, and H. N. Alshareef, Microscale Electrostatic Fractional Capacitors using Reduced Graphene Oxide Percolated Polymer Composites, Applied Physics letters, 102, 232901 (2013). G. Radwan, K. Moaddy, K.N. Salama, S. Momani, and I. Hashim, Control and switching synchronization of fractionalorder chaotic systems using active control technique, Journal of Advanced Research, 2013 K Moaddy, A. G. Radwan, K. N. Salama, S. Momani and I. Hashim, "Parametric Control on Fractional-Order Response for Lü Chaotic System", Journal of Physics: Conference Series (JPCS), 423, 012024, (2013) K. Moaddy, A.G. Radwan, K.N. Salama, S. Momani and I. Hashim,"The Fractional-Order Modeling and Synchronization of Electrically Coupled Neurons System,"journal of Computers and Mathematics with Applications, doi: 10.1016/j.camwa.2012.01.005, 2012 A.G. Radwan and K. N. Salama, "Fractional-Order RC and RL Circuits," Journal of Circuits, Systems and Signal Processing, Vol 31, no 6, pp 1901-1915, 2012 G. Radwan, and K. N. Salama, "Passive and Active Elements Using Fractional LβCα Circuit," IEEE Trans. Circuits & Systems I, Vol 58, no 10, 2388-2397, 2011 G. Radwan, A. Shamim, K. N. Salama, “Theory of Fractional Order Elements Based Impedance Matching Networks," IEEE Microwave and Wireless Components Letters, Vol. 21, No.3, pp.120-122, 2011 Shamim, A. G. Radwan, K.N. Salama, “Fractional Smith Chart Theory and Application,” ” IEEE Microwave and Wireless Components Letters, Vol. 21, No.3, pp.117-119, 2011 Conferences Shahrazed Elmetennani, Ibrahima N'Doye, Khaled N Salama, Taous-Meriem Laleg-Kirati, Performance Analysis of Fractional-Order PID Controller for a Parabolic Distributed Solar Collector, IEEE Africon 2017. A.G. Radwan, A. Shamim and KN Salama,"Impedance Matching Through a Single Passive Fractional Element," IEEE International Symposium on Antennas and Propagation and USNC/URSI National Radio Science Meeting in Chicago, IL, USA, pp 1-2, July 8-13, 2012. G. Radwan, A. Shamim, K. N. Salama, “Mathematics behind the Fractional-order Smith chart,” the 30th Progress in Electromagnetic Research Symposium (PIERS), pp 155-159, China, 2011.
