Fractional Order Systems

Fractional Order Systems: An Overview of Mathematics, Design, and Applications for Engineers introduces applications from a design perspective, helping readers plan and design their own applications. The book includes the different techniques employed to design fractional-order systems/devices comprehensively and straightforwardly. Furthermore, mathematics is available in the literature on how to solve fractional-order calculus for system applications. This book introduces the mathematics that has been employed explicitly for fractional-order systems. It will prove an excellent material for students and scholars who want to quickly understand the field of fractional-order systems and contribute to its different domains and applications. Fractional-order systems are believed to play an essential role in our day-to-day activities. Therefore, several researchers around the globe endeavor to work in the different domains of fractional-order systems. The efforts include developing the mathematics to solve fractional-order calculus/systems and to achieve the feasible designs for various applications of fractional-order systems.

1. A survey on numerical studies for fractional biological models and their optimal control 2. A collection of interdisciplinary applications of fractional-order circuits 3. Fractional-order control, new control teqhniques 4. Fractional-order systems, numerical techniques, and applications I 5. Fractional-order systems, numerical techniques, and applications II 6. Chaos in fractional-order difference systems 7. A review on the realization of fractional-order devices to use as sensors and circuit elements for experimental studies and research 8. FPAA-based implementation of fractional-order multidirectional multiscroll chaotic oscillators 9. A survey on memristor active emulation circuits in the fractional-order domain 10. Fractional-order oscillators based on a single Op-Amp 11. Fractional calculus in electronic circuits: a review 12. Dynamics and implementation techniques of fractional-order neuron models: a survey 13. Fractional calculus: applications in rheology 14. Introduction of new kernels and new models to solve the drawbacks of fractional integration/differentiation operators and classical fractional-order models