Fractional Order Systems and Applications in Engineering

Erscheinungsjahr 2022
ISBN: 978-0-323-90953-2
Verlag: Elsevier Science & Technology

Buch, Englisch, 232 Seiten, Format (B × H): 190 mm x 236 mm, Gewicht: 832 g

Reihe: Advanced Studies in Complex Systems

Fractional Order Systems and Applications in Engineering presents the use of fractional calculus (calculus of non-integer order) in the description and modelling of systems and in a range of control design and practical applications. The book covers the fundamentals of fractional calculus together with some analytical and numerical techniques, and provides MATLAB® codes for the simulation of fractional-order control (FOC) systems. The use of fractional calculus can improve and generalize well-established control methods and strategies. Many different FOC schemes are presented for control and dynamic systems problems. These extend to the challenging control engineering design problems of robust and nonlinear control. Practical material relating to a wide variety of applications including, among others, mechatronics, civil engineering, irrigation and water management, and biological systems is also provided. All the control schemes and applications are presented with either system simulation results or real experimental results, or both. Fractional Order Systems and Applications in Engineering introduces readers to the essentials of FOC and imbues them with a basic understanding of FOC concepts and methods. With this knowledge readers can extend their use of FOC in other industrial system applications, thereby expanding their range of disciplines by exploiting this versatile new set of control techniques.

Autoren/Hrsg.

Baleanu, Dumitru

Agarwal, Praveen

Balas, Valentina Emilia

Fachgebiete

• Technische Wissenschaften Sonstige Technologien | Angewandte Technik Medizintechnik, Biomedizintechnik
• Medizin | Veterinärmedizin Medizin | Public Health | Pharmazie | Zahnmedizin Medizin, Gesundheitswesen Medizintechnik, Biomedizintechnik, Medizinische Werkstoffe

Inhaltsverzeichnis

1. Complete synchronization of the time-fractional Chua reaction-diffusion system 2. New nonsymmetric and parametric divergences with particular cases 3. Analytical solutions of some fractional diffusion boundary value problems 4. An enhanced hybrid stochastic fractal search FOPID for speed control of DC motor 5. Fractional dynamics and metrics of deadly pandemic diseases 6. A numerical technique for solving fractional Benjamin-Bona-Mahony-Burgers equations with bibliometric analysis 7. Some roots and paths in the fractional calculus developing environment 8. Accruement of nonlinear dynamical system and its dynamics: electronics and cryptographic engineering 9. Some new integral inequalities via generalized proportional fractional integral operators for the classes of m-logarithmically convex functions 10. Application and optimization of a robust fractional-order FOPI-FOPID automatic generation controller for a multiarea interconnected hybrid power system 11. Fourth-order fractional diffusion equations: constructs and memory kernel effects 12. Analysis of COVID-19 outbreak using GIS and SEIR model 13. Hidden chaotic attractors in fractional-order discrete-time systems 14. Dynamical investigation and simulation of an incommensurate fractional-order model of COVID-19 outbreak with nonlinear saturated incidence rate 15. Weak Pontryagin's maximum principle for optimal control problems involving a general analytic kernel 16. Computational half-sweep preconditioned Gauss-Seidel method for time-fractional diffusion equations 17. Operational matrix approach for solving variable-order fractional integro-differential equations 18. On basic Humbert confluent hypergeometric functions 19. Derivatives of Horn's hypergeometric functions G1, G2, >1, and >2 with respect to their parameters

Über Autor(innen)

Baleanu, Dumitru
Dumitru Baleanu is a professor at the Institute of Space Sciences, Magurele-Bucharest, Romania and a visiting staff member at the Department of Mathematics, Çankaya, University, Ankara, Turkey. He received his Ph.D. from the Institute of Atomic Physics in 1996. His fields of interest include Fractional Dynamics and its applications, Fractional Differential Equations and their applications, Discrete Mathematics, Image Processing, Bioinformatics, Mathematical Biology, Mathematical Physics, Soliton Theory, Lie Symmetry, Dynamic Systems on time scales, Computational Complexity, the Wavelet Method and its applications, Quantization of systems with constraints, the Hamilton-Jacobi Formalism, as well as geometries admitting generic and non-generic symmetries.

Agarwal, Praveen
Dr. Praveen Agarwal earned his Ph. D. in Mathematics at the Malviya National Institute of Technology (MNIT) in Jaipur, India, in 2006. Recently, Prof. Agarwal has been listed as the World's Top 2% Scientist from 2020-2025, released by Stanford University. In the 2025 ranking of best scientists worldwide announced by Research.com, he ranked 13th at the India level and 1297th worldwide in Mathematics. Dr. Agarwal has been actively involved in research as well as pedagogical activities for the last 24 years. His major research interests include Special Functions, Fractional Calculus, Numerical Analysis, Differential and Difference Equations, Inequalities, Probability & Statistics, and Fixed Point Theorems. He has published 11 research monographs and edited volumes and more than 405 publications (with almost 100 mathematicians all over the world) in prestigious national and international mathematics journals. Dr. Agarwal worked previously either as a regular faculty or as a visiting professor and scientist in universities in several countries, including India, Germany, Turkey, South Korea, UK, Russia, Malaysia and Thailand. He has served over 50 Journals in the capacity of an Editor/Honorary Editor, or Associate Editor, and published 15 books as an editor.